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Finding the Fourth Proportional to 146.47, 220.02 and 142.42

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Solution

The fourth proportional to 146.47, 220.02 and 142.42 is: 213.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.47 : 220.02 = 142.42 : x
  2. Step 2: Convert to fraction form
    146.47/220.02 = 142.42/x
  3. Step 3: Cross multiply
    146.47x = 220.02 × 142.42
  4. Step 4: Simplify right side
    146.47x = 31,335.25
  5. Step 5: Solve for x
    x = 31,335.25/146.47
  6. Step 6: Final answer
    x = 213.94

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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.