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Finding the Fourth Proportional to 148.20, 204.51 and 82.70

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Solution

The fourth proportional to 148.20, 204.51 and 82.70 is: 114.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.20 : 204.51 = 82.70 : x
  2. Step 2: Convert to fraction form
    148.20/204.51 = 82.70/x
  3. Step 3: Cross multiply
    148.20x = 204.51 × 82.70
  4. Step 4: Simplify right side
    148.20x = 16,911.95
  5. Step 5: Solve for x
    x = 16,911.95/148.20
  6. Step 6: Final answer
    x = 114.12

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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.