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Finding the Fourth Proportional to 146.31, 219.75 and 112.31

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Solution

The fourth proportional to 146.31, 219.75 and 112.31 is: 168.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.31 : 219.75 = 112.31 : x
  2. Step 2: Convert to fraction form
    146.31/219.75 = 112.31/x
  3. Step 3: Cross multiply
    146.31x = 219.75 × 112.31
  4. Step 4: Simplify right side
    146.31x = 24,679.02
  5. Step 5: Solve for x
    x = 24,679.02/146.31
  6. Step 6: Final answer
    x = 168.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.