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Finding the Fourth Proportional to 409.84, 565.64 and 235.19

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Solution

The fourth proportional to 409.84, 565.64 and 235.19 is: 324.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.84 : 565.64 = 235.19 : x
  2. Step 2: Convert to fraction form
    409.84/565.64 = 235.19/x
  3. Step 3: Cross multiply
    409.84x = 565.64 × 235.19
  4. Step 4: Simplify right side
    409.84x = 133,032.87
  5. Step 5: Solve for x
    x = 133,032.87/409.84
  6. Step 6: Final answer
    x = 324.60

Related Problems

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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.