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Finding the Fourth Proportional to 128.41, 176.78 and 97.27

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Solution

The fourth proportional to 128.41, 176.78 and 97.27 is: 133.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.41 : 176.78 = 97.27 : x
  2. Step 2: Convert to fraction form
    128.41/176.78 = 97.27/x
  3. Step 3: Cross multiply
    128.41x = 176.78 × 97.27
  4. Step 4: Simplify right side
    128.41x = 17,195.19
  5. Step 5: Solve for x
    x = 17,195.19/128.41
  6. Step 6: Final answer
    x = 133.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.