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Finding the Fourth Proportional to 80.33, 120.30 and 60.08

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Solution

The fourth proportional to 80.33, 120.30 and 60.08 is: 89.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.33 : 120.30 = 60.08 : x
  2. Step 2: Convert to fraction form
    80.33/120.30 = 60.08/x
  3. Step 3: Cross multiply
    80.33x = 120.30 × 60.08
  4. Step 4: Simplify right side
    80.33x = 7,227.02
  5. Step 5: Solve for x
    x = 7,227.02/80.33
  6. Step 6: Final answer
    x = 89.97

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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.