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Finding the Fourth Proportional to 128.52, 178.58 and 127

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Solution

The fourth proportional to 128.52, 178.58 and 127 is: 176.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.52 : 178.58 = 127 : x
  2. Step 2: Convert to fraction form
    128.52/178.58 = 127/x
  3. Step 3: Cross multiply
    128.52x = 178.58 × 127
  4. Step 4: Simplify right side
    128.52x = 22,679.66
  5. Step 5: Solve for x
    x = 22,679.66/128.52
  6. Step 6: Final answer
    x = 176.47

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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.