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Finding the Fourth Proportional to 177.21, 265.41 and 85.97

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Solution

The fourth proportional to 177.21, 265.41 and 85.97 is: 128.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.21 : 265.41 = 85.97 : x
  2. Step 2: Convert to fraction form
    177.21/265.41 = 85.97/x
  3. Step 3: Cross multiply
    177.21x = 265.41 × 85.97
  4. Step 4: Simplify right side
    177.21x = 22,817.30
  5. Step 5: Solve for x
    x = 22,817.30/177.21
  6. Step 6: Final answer
    x = 128.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.