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Finding the Fourth Proportional to 409.69, 566.85 and 357.35

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Solution

The fourth proportional to 409.69, 566.85 and 357.35 is: 494.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.69 : 566.85 = 357.35 : x
  2. Step 2: Convert to fraction form
    409.69/566.85 = 357.35/x
  3. Step 3: Cross multiply
    409.69x = 566.85 × 357.35
  4. Step 4: Simplify right side
    409.69x = 202,561.01
  5. Step 5: Solve for x
    x = 202,561.01/409.69
  6. Step 6: Final answer
    x = 494.43

Related Problems

Find fourth proportional to 204.84, 283.43 and 178.67
Half scale
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Double scale
Find fourth proportional to 410.69, 568.23 and 358.35
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.