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Finding the Fourth Proportional to 180.50, 269.57 and 141.89

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Solution

The fourth proportional to 180.50, 269.57 and 141.89 is: 211.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.50 : 269.57 = 141.89 : x
  2. Step 2: Convert to fraction form
    180.50/269.57 = 141.89/x
  3. Step 3: Cross multiply
    180.50x = 269.57 × 141.89
  4. Step 4: Simplify right side
    180.50x = 38,248.29
  5. Step 5: Solve for x
    x = 38,248.29/180.50
  6. Step 6: Final answer
    x = 211.91

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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.