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Finding the Fourth Proportional to 435.72, 601.17 and 249.15

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Solution

The fourth proportional to 435.72, 601.17 and 249.15 is: 343.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.72 : 601.17 = 249.15 : x
  2. Step 2: Convert to fraction form
    435.72/601.17 = 249.15/x
  3. Step 3: Cross multiply
    435.72x = 601.17 × 249.15
  4. Step 4: Simplify right side
    435.72x = 149,781.51
  5. Step 5: Solve for x
    x = 149,781.51/435.72
  6. Step 6: Final answer
    x = 343.76

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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.