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Finding the Fourth Proportional to 80.48, 111.08 and 48.98

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Solution

The fourth proportional to 80.48, 111.08 and 48.98 is: 67.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.48 : 111.08 = 48.98 : x
  2. Step 2: Convert to fraction form
    80.48/111.08 = 48.98/x
  3. Step 3: Cross multiply
    80.48x = 111.08 × 48.98
  4. Step 4: Simplify right side
    80.48x = 5,441.10
  5. Step 5: Solve for x
    x = 5,441.10/80.48
  6. Step 6: Final answer
    x = 67.61

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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.