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Finding the Fourth Proportional to 77.66, 115.69 and 73

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Solution

The fourth proportional to 77.66, 115.69 and 73 is: 108.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.66 : 115.69 = 73 : x
  2. Step 2: Convert to fraction form
    77.66/115.69 = 73/x
  3. Step 3: Cross multiply
    77.66x = 115.69 × 73
  4. Step 4: Simplify right side
    77.66x = 8,445.37
  5. Step 5: Solve for x
    x = 8,445.37/77.66
  6. Step 6: Final answer
    x = 108.75

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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.