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Finding the Fourth Proportional to 106.18, 158.78 and 80.24

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Solution

The fourth proportional to 106.18, 158.78 and 80.24 is: 119.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.18 : 158.78 = 80.24 : x
  2. Step 2: Convert to fraction form
    106.18/158.78 = 80.24/x
  3. Step 3: Cross multiply
    106.18x = 158.78 × 80.24
  4. Step 4: Simplify right side
    106.18x = 12,739.91
  5. Step 5: Solve for x
    x = 12,739.91/106.18
  6. Step 6: Final answer
    x = 119.99

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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.