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Finding the Fourth Proportional to 407.71, 560.55 and 363.02

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Solution

The fourth proportional to 407.71, 560.55 and 363.02 is: 499.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.71 : 560.55 = 363.02 : x
  2. Step 2: Convert to fraction form
    407.71/560.55 = 363.02/x
  3. Step 3: Cross multiply
    407.71x = 560.55 × 363.02
  4. Step 4: Simplify right side
    407.71x = 203,490.86
  5. Step 5: Solve for x
    x = 203,490.86/407.71
  6. Step 6: Final answer
    x = 499.11

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.