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Finding the Fourth Proportional to 77.51, 115.97 and 65.94

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Solution

The fourth proportional to 77.51, 115.97 and 65.94 is: 98.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.51 : 115.97 = 65.94 : x
  2. Step 2: Convert to fraction form
    77.51/115.97 = 65.94/x
  3. Step 3: Cross multiply
    77.51x = 115.97 × 65.94
  4. Step 4: Simplify right side
    77.51x = 7,646.73
  5. Step 5: Solve for x
    x = 7,646.73/77.51
  6. Step 6: Final answer
    x = 98.66

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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.