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Finding the Fourth Proportional to 146.61, 219.92 and 138.15

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Solution

The fourth proportional to 146.61, 219.92 and 138.15 is: 207.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.61 : 219.92 = 138.15 : x
  2. Step 2: Convert to fraction form
    146.61/219.92 = 138.15/x
  3. Step 3: Cross multiply
    146.61x = 219.92 × 138.15
  4. Step 4: Simplify right side
    146.61x = 30,381.26
  5. Step 5: Solve for x
    x = 30,381.26/146.61
  6. Step 6: Final answer
    x = 207.23

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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.