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Finding the Fourth Proportional to 80.31, 120.33 and 51.75

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Solution

The fourth proportional to 80.31, 120.33 and 51.75 is: 77.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.31 : 120.33 = 51.75 : x
  2. Step 2: Convert to fraction form
    80.31/120.33 = 51.75/x
  3. Step 3: Cross multiply
    80.31x = 120.33 × 51.75
  4. Step 4: Simplify right side
    80.31x = 6,227.08
  5. Step 5: Solve for x
    x = 6,227.08/80.31
  6. Step 6: Final answer
    x = 77.54

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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.