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Finding the Fourth Proportional to 77.42, 116.03 and 57.17

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Solution

The fourth proportional to 77.42, 116.03 and 57.17 is: 85.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.42 : 116.03 = 57.17 : x
  2. Step 2: Convert to fraction form
    77.42/116.03 = 57.17/x
  3. Step 3: Cross multiply
    77.42x = 116.03 × 57.17
  4. Step 4: Simplify right side
    77.42x = 6,633.87
  5. Step 5: Solve for x
    x = 6,633.87/77.42
  6. Step 6: Final answer
    x = 85.68

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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.