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Finding the Fourth Proportional to 177.32, 265.98 and 53.92

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Solution

The fourth proportional to 177.32, 265.98 and 53.92 is: 80.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.32 : 265.98 = 53.92 : x
  2. Step 2: Convert to fraction form
    177.32/265.98 = 53.92/x
  3. Step 3: Cross multiply
    177.32x = 265.98 × 53.92
  4. Step 4: Simplify right side
    177.32x = 14,342.02
  5. Step 5: Solve for x
    x = 14,342.02/177.32
  6. Step 6: Final answer
    x = 80.88

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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.