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Finding the Fourth Proportional to 129.32, 177.28 and 127.88

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Solution

The fourth proportional to 129.32, 177.28 and 127.88 is: 175.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.32 : 177.28 = 127.88 : x
  2. Step 2: Convert to fraction form
    129.32/177.28 = 127.88/x
  3. Step 3: Cross multiply
    129.32x = 177.28 × 127.88
  4. Step 4: Simplify right side
    129.32x = 22,670.57
  5. Step 5: Solve for x
    x = 22,670.57/129.32
  6. Step 6: Final answer
    x = 175.31

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.