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Finding the Fourth Proportional to 80.86, 121.29 and 23.08

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Solution

The fourth proportional to 80.86, 121.29 and 23.08 is: 34.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.86 : 121.29 = 23.08 : x
  2. Step 2: Convert to fraction form
    80.86/121.29 = 23.08/x
  3. Step 3: Cross multiply
    80.86x = 121.29 × 23.08
  4. Step 4: Simplify right side
    80.86x = 2,799.07
  5. Step 5: Solve for x
    x = 2,799.07/80.86
  6. Step 6: Final answer
    x = 34.62

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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.