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Finding the Fourth Proportional to 142.46, 212.36 and 126.96

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Solution

The fourth proportional to 142.46, 212.36 and 126.96 is: 189.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.46 : 212.36 = 126.96 : x
  2. Step 2: Convert to fraction form
    142.46/212.36 = 126.96/x
  3. Step 3: Cross multiply
    142.46x = 212.36 × 126.96
  4. Step 4: Simplify right side
    142.46x = 26,961.23
  5. Step 5: Solve for x
    x = 26,961.23/142.46
  6. Step 6: Final answer
    x = 189.25

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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.