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Finding the Fourth Proportional to 128.24, 178.20 and 126.92

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Solution

The fourth proportional to 128.24, 178.20 and 126.92 is: 176.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.24 : 178.20 = 126.92 : x
  2. Step 2: Convert to fraction form
    128.24/178.20 = 126.92/x
  3. Step 3: Cross multiply
    128.24x = 178.20 × 126.92
  4. Step 4: Simplify right side
    128.24x = 22,617.14
  5. Step 5: Solve for x
    x = 22,617.14/128.24
  6. Step 6: Final answer
    x = 176.37

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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.