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Finding the Fourth Proportional to 180.81, 249.52 and 115.31

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Solution

The fourth proportional to 180.81, 249.52 and 115.31 is: 159.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.81 : 249.52 = 115.31 : x
  2. Step 2: Convert to fraction form
    180.81/249.52 = 115.31/x
  3. Step 3: Cross multiply
    180.81x = 249.52 × 115.31
  4. Step 4: Simplify right side
    180.81x = 28,772.15
  5. Step 5: Solve for x
    x = 28,772.15/180.81
  6. Step 6: Final answer
    x = 159.13

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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.