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Finding the Fourth Proportional to 180.84, 249.51 and 115.29

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Solution

The fourth proportional to 180.84, 249.51 and 115.29 is: 159.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.84 : 249.51 = 115.29 : x
  2. Step 2: Convert to fraction form
    180.84/249.51 = 115.29/x
  3. Step 3: Cross multiply
    180.84x = 249.51 × 115.29
  4. Step 4: Simplify right side
    180.84x = 28,764.81
  5. Step 5: Solve for x
    x = 28,764.81/180.84
  6. Step 6: Final answer
    x = 159.06

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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.