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Finding the Fourth Proportional to 128.43, 176.02 and 128.22

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Solution

The fourth proportional to 128.43, 176.02 and 128.22 is: 175.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.43 : 176.02 = 128.22 : x
  2. Step 2: Convert to fraction form
    128.43/176.02 = 128.22/x
  3. Step 3: Cross multiply
    128.43x = 176.02 × 128.22
  4. Step 4: Simplify right side
    128.43x = 22,569.28
  5. Step 5: Solve for x
    x = 22,569.28/128.43
  6. Step 6: Final answer
    x = 175.73

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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.