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Finding the Fourth Proportional to 147.39, 220.82 and 82.31

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Solution

The fourth proportional to 147.39, 220.82 and 82.31 is: 123.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.39 : 220.82 = 82.31 : x
  2. Step 2: Convert to fraction form
    147.39/220.82 = 82.31/x
  3. Step 3: Cross multiply
    147.39x = 220.82 × 82.31
  4. Step 4: Simplify right side
    147.39x = 18,176.14
  5. Step 5: Solve for x
    x = 18,176.14/147.39
  6. Step 6: Final answer
    x = 123.32

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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.