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Finding the Fourth Proportional to 80.25, 119 and 79.23

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Solution

The fourth proportional to 80.25, 119 and 79.23 is: 117.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.25 : 119 = 79.23 : x
  2. Step 2: Convert to fraction form
    80.25/119 = 79.23/x
  3. Step 3: Cross multiply
    80.25x = 119 × 79.23
  4. Step 4: Simplify right side
    80.25x = 9,428.37
  5. Step 5: Solve for x
    x = 9,428.37/80.25
  6. Step 6: Final answer
    x = 117.49

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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.