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Finding the Fourth Proportional to 180.90, 249.14 and 177.53

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Solution

The fourth proportional to 180.90, 249.14 and 177.53 is: 244.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.90 : 249.14 = 177.53 : x
  2. Step 2: Convert to fraction form
    180.90/249.14 = 177.53/x
  3. Step 3: Cross multiply
    180.90x = 249.14 × 177.53
  4. Step 4: Simplify right side
    180.90x = 44,229.02
  5. Step 5: Solve for x
    x = 44,229.02/180.90
  6. Step 6: Final answer
    x = 244.49

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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.