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Finding the Fourth Proportional to 80.22, 118.74 and 80.04

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Solution

The fourth proportional to 80.22, 118.74 and 80.04 is: 118.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.22 : 118.74 = 80.04 : x
  2. Step 2: Convert to fraction form
    80.22/118.74 = 80.04/x
  3. Step 3: Cross multiply
    80.22x = 118.74 × 80.04
  4. Step 4: Simplify right side
    80.22x = 9,503.95
  5. Step 5: Solve for x
    x = 9,503.95/80.22
  6. Step 6: Final answer
    x = 118.47

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.