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Finding the Fourth Proportional to 147.69, 203.82 and 82.20

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Solution

The fourth proportional to 147.69, 203.82 and 82.20 is: 113.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.69 : 203.82 = 82.20 : x
  2. Step 2: Convert to fraction form
    147.69/203.82 = 82.20/x
  3. Step 3: Cross multiply
    147.69x = 203.82 × 82.20
  4. Step 4: Simplify right side
    147.69x = 16,753.31
  5. Step 5: Solve for x
    x = 16,753.31/147.69
  6. Step 6: Final answer
    x = 113.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.