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Finding the Fourth Proportional to 147.97, 220.37 and 146.35

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Solution

The fourth proportional to 147.97, 220.37 and 146.35 is: 217.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.97 : 220.37 = 146.35 : x
  2. Step 2: Convert to fraction form
    147.97/220.37 = 146.35/x
  3. Step 3: Cross multiply
    147.97x = 220.37 × 146.35
  4. Step 4: Simplify right side
    147.97x = 32,251.15
  5. Step 5: Solve for x
    x = 32,251.15/147.97
  6. Step 6: Final answer
    x = 217.96

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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.