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Finding the Fourth Proportional to 142.13, 211.56 and 135.49

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Solution

The fourth proportional to 142.13, 211.56 and 135.49 is: 201.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.13 : 211.56 = 135.49 : x
  2. Step 2: Convert to fraction form
    142.13/211.56 = 135.49/x
  3. Step 3: Cross multiply
    142.13x = 211.56 × 135.49
  4. Step 4: Simplify right side
    142.13x = 28,663.74
  5. Step 5: Solve for x
    x = 28,663.74/142.13
  6. Step 6: Final answer
    x = 201.68

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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.