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Finding the Fourth Proportional to 142.30, 212.31 and 126.91

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Solution

The fourth proportional to 142.30, 212.31 and 126.91 is: 189.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.30 : 212.31 = 126.91 : x
  2. Step 2: Convert to fraction form
    142.30/212.31 = 126.91/x
  3. Step 3: Cross multiply
    142.30x = 212.31 × 126.91
  4. Step 4: Simplify right side
    142.30x = 26,942.57
  5. Step 5: Solve for x
    x = 26,942.57/142.30
  6. Step 6: Final answer
    x = 189.34

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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.