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Finding the Fourth Proportional to 142.31, 212.24 and 135.15

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Solution

The fourth proportional to 142.31, 212.24 and 135.15 is: 201.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.31 : 212.24 = 135.15 : x
  2. Step 2: Convert to fraction form
    142.31/212.24 = 135.15/x
  3. Step 3: Cross multiply
    142.31x = 212.24 × 135.15
  4. Step 4: Simplify right side
    142.31x = 28,683.56
  5. Step 5: Solve for x
    x = 28,683.56/142.31
  6. Step 6: Final answer
    x = 201.56

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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.