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Finding the Fourth Proportional to 77.29, 106.85 and 74

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Solution

The fourth proportional to 77.29, 106.85 and 74 is: 102.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.29 : 106.85 = 74 : x
  2. Step 2: Convert to fraction form
    77.29/106.85 = 74/x
  3. Step 3: Cross multiply
    77.29x = 106.85 × 74
  4. Step 4: Simplify right side
    77.29x = 7,906.90
  5. Step 5: Solve for x
    x = 7,906.90/77.29
  6. Step 6: Final answer
    x = 102.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.