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Finding the Fourth Proportional to 80.49, 120.76 and 51.59

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Solution

The fourth proportional to 80.49, 120.76 and 51.59 is: 77.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.49 : 120.76 = 51.59 : x
  2. Step 2: Convert to fraction form
    80.49/120.76 = 51.59/x
  3. Step 3: Cross multiply
    80.49x = 120.76 × 51.59
  4. Step 4: Simplify right side
    80.49x = 6,229.40
  5. Step 5: Solve for x
    x = 6,229.40/80.49
  6. Step 6: Final answer
    x = 77.40

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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.