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Finding the Fourth Proportional to 406.38, 560.65 and 240.64

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Solution

The fourth proportional to 406.38, 560.65 and 240.64 is: 331.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.38 : 560.65 = 240.64 : x
  2. Step 2: Convert to fraction form
    406.38/560.65 = 240.64/x
  3. Step 3: Cross multiply
    406.38x = 560.65 × 240.64
  4. Step 4: Simplify right side
    406.38x = 134,914.82
  5. Step 5: Solve for x
    x = 134,914.82/406.38
  6. Step 6: Final answer
    x = 331.99

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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.