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Finding the Fourth Proportional to 102.95, 154.19 and 77.31

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Solution

The fourth proportional to 102.95, 154.19 and 77.31 is: 115.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.95 : 154.19 = 77.31 : x
  2. Step 2: Convert to fraction form
    102.95/154.19 = 77.31/x
  3. Step 3: Cross multiply
    102.95x = 154.19 × 77.31
  4. Step 4: Simplify right side
    102.95x = 11,920.04
  5. Step 5: Solve for x
    x = 11,920.04/102.95
  6. Step 6: Final answer
    x = 115.79

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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.