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Finding the Fourth Proportional to 128.53, 178.24 and 126.37

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Solution

The fourth proportional to 128.53, 178.24 and 126.37 is: 175.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.53 : 178.24 = 126.37 : x
  2. Step 2: Convert to fraction form
    128.53/178.24 = 126.37/x
  3. Step 3: Cross multiply
    128.53x = 178.24 × 126.37
  4. Step 4: Simplify right side
    128.53x = 22,524.19
  5. Step 5: Solve for x
    x = 22,524.19/128.53
  6. Step 6: Final answer
    x = 175.24

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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.