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Finding the Fourth Proportional to 180.53, 269.48 and 167.87

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Solution

The fourth proportional to 180.53, 269.48 and 167.87 is: 250.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.53 : 269.48 = 167.87 : x
  2. Step 2: Convert to fraction form
    180.53/269.48 = 167.87/x
  3. Step 3: Cross multiply
    180.53x = 269.48 × 167.87
  4. Step 4: Simplify right side
    180.53x = 45,235.42
  5. Step 5: Solve for x
    x = 45,235.42/180.53
  6. Step 6: Final answer
    x = 250.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.