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Finding the Fourth Proportional to 142.38, 212.49 and 136.62

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Solution

The fourth proportional to 142.38, 212.49 and 136.62 is: 203.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.38 : 212.49 = 136.62 : x
  2. Step 2: Convert to fraction form
    142.38/212.49 = 136.62/x
  3. Step 3: Cross multiply
    142.38x = 212.49 × 136.62
  4. Step 4: Simplify right side
    142.38x = 29,030.38
  5. Step 5: Solve for x
    x = 29,030.38/142.38
  6. Step 6: Final answer
    x = 203.89

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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.