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Finding the Fourth Proportional to 180.43, 249.21 and 147.79

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Solution

The fourth proportional to 180.43, 249.21 and 147.79 is: 204.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.43 : 249.21 = 147.79 : x
  2. Step 2: Convert to fraction form
    180.43/249.21 = 147.79/x
  3. Step 3: Cross multiply
    180.43x = 249.21 × 147.79
  4. Step 4: Simplify right side
    180.43x = 36,830.75
  5. Step 5: Solve for x
    x = 36,830.75/180.43
  6. Step 6: Final answer
    x = 204.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.