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Finding the Fourth Proportional to 410.08, 566.04 and 254.76

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Solution

The fourth proportional to 410.08, 566.04 and 254.76 is: 351.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.08 : 566.04 = 254.76 : x
  2. Step 2: Convert to fraction form
    410.08/566.04 = 254.76/x
  3. Step 3: Cross multiply
    410.08x = 566.04 × 254.76
  4. Step 4: Simplify right side
    410.08x = 144,204.35
  5. Step 5: Solve for x
    x = 144,204.35/410.08
  6. Step 6: Final answer
    x = 351.65

Related Problems

Find fourth proportional to 205.04, 283.02 and 127.38
Half scale
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Double scale
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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.