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Finding the Fourth Proportional to 142.52, 212.79 and 126.52

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Solution

The fourth proportional to 142.52, 212.79 and 126.52 is: 188.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.52 : 212.79 = 126.52 : x
  2. Step 2: Convert to fraction form
    142.52/212.79 = 126.52/x
  3. Step 3: Cross multiply
    142.52x = 212.79 × 126.52
  4. Step 4: Simplify right side
    142.52x = 26,922.19
  5. Step 5: Solve for x
    x = 26,922.19/142.52
  6. Step 6: Final answer
    x = 188.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.