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Finding the Fourth Proportional to 406.13, 560.32 and 240.39

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Solution

The fourth proportional to 406.13, 560.32 and 240.39 is: 331.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.13 : 560.32 = 240.39 : x
  2. Step 2: Convert to fraction form
    406.13/560.32 = 240.39/x
  3. Step 3: Cross multiply
    406.13x = 560.32 × 240.39
  4. Step 4: Simplify right side
    406.13x = 134,694.72
  5. Step 5: Solve for x
    x = 134,694.72/406.13
  6. Step 6: Final answer
    x = 331.66

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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.