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Finding the Fourth Proportional to 127.58, 176.88 and 120.29

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Solution

The fourth proportional to 127.58, 176.88 and 120.29 is: 166.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.58 : 176.88 = 120.29 : x
  2. Step 2: Convert to fraction form
    127.58/176.88 = 120.29/x
  3. Step 3: Cross multiply
    127.58x = 176.88 × 120.29
  4. Step 4: Simplify right side
    127.58x = 21,276.46
  5. Step 5: Solve for x
    x = 21,276.46/127.58
  6. Step 6: Final answer
    x = 166.78

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.