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Finding the Fourth Proportional to 142.02, 211.97 and 138.38

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Solution

The fourth proportional to 142.02, 211.97 and 138.38 is: 206.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.02 : 211.97 = 138.38 : x
  2. Step 2: Convert to fraction form
    142.02/211.97 = 138.38/x
  3. Step 3: Cross multiply
    142.02x = 211.97 × 138.38
  4. Step 4: Simplify right side
    142.02x = 29,330.66
  5. Step 5: Solve for x
    x = 29,330.66/142.02
  6. Step 6: Final answer
    x = 206.52

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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.