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Finding the Fourth Proportional to 142.31, 195.53 and 113.15

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Solution

The fourth proportional to 142.31, 195.53 and 113.15 is: 155.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.31 : 195.53 = 113.15 : x
  2. Step 2: Convert to fraction form
    142.31/195.53 = 113.15/x
  3. Step 3: Cross multiply
    142.31x = 195.53 × 113.15
  4. Step 4: Simplify right side
    142.31x = 22,122.96
  5. Step 5: Solve for x
    x = 22,122.96/142.31
  6. Step 6: Final answer
    x = 155.46

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.