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Finding the Fourth Proportional to 177.92, 265.79 and 141.89

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Solution

The fourth proportional to 177.92, 265.79 and 141.89 is: 211.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.92 : 265.79 = 141.89 : x
  2. Step 2: Convert to fraction form
    177.92/265.79 = 141.89/x
  3. Step 3: Cross multiply
    177.92x = 265.79 × 141.89
  4. Step 4: Simplify right side
    177.92x = 37,710.90
  5. Step 5: Solve for x
    x = 37,710.90/177.92
  6. Step 6: Final answer
    x = 211.96

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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.