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Finding the Fourth Proportional to 410.01, 565.68 and 392.04

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Solution

The fourth proportional to 410.01, 565.68 and 392.04 is: 540.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.01 : 565.68 = 392.04 : x
  2. Step 2: Convert to fraction form
    410.01/565.68 = 392.04/x
  3. Step 3: Cross multiply
    410.01x = 565.68 × 392.04
  4. Step 4: Simplify right side
    410.01x = 221,770.66
  5. Step 5: Solve for x
    x = 221,770.66/410.01
  6. Step 6: Final answer
    x = 540.89

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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.