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Finding the Fourth Proportional to 77.84, 115.85 and 74.50

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Solution

The fourth proportional to 77.84, 115.85 and 74.50 is: 110.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.84 : 115.85 = 74.50 : x
  2. Step 2: Convert to fraction form
    77.84/115.85 = 74.50/x
  3. Step 3: Cross multiply
    77.84x = 115.85 × 74.50
  4. Step 4: Simplify right side
    77.84x = 8,630.83
  5. Step 5: Solve for x
    x = 8,630.83/77.84
  6. Step 6: Final answer
    x = 110.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.