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Finding the Fourth Proportional to 180.61, 249.36 and 115.20

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Solution

The fourth proportional to 180.61, 249.36 and 115.20 is: 159.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.61 : 249.36 = 115.20 : x
  2. Step 2: Convert to fraction form
    180.61/249.36 = 115.20/x
  3. Step 3: Cross multiply
    180.61x = 249.36 × 115.20
  4. Step 4: Simplify right side
    180.61x = 28,726.49
  5. Step 5: Solve for x
    x = 28,726.49/180.61
  6. Step 6: Final answer
    x = 159.05

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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.