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Finding the Fourth Proportional to 410.57, 565.97 and 292.20

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Solution

The fourth proportional to 410.57, 565.97 and 292.20 is: 402.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.57 : 565.97 = 292.20 : x
  2. Step 2: Convert to fraction form
    410.57/565.97 = 292.20/x
  3. Step 3: Cross multiply
    410.57x = 565.97 × 292.20
  4. Step 4: Simplify right side
    410.57x = 165,376.43
  5. Step 5: Solve for x
    x = 165,376.43/410.57
  6. Step 6: Final answer
    x = 402.80

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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.