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Finding the Fourth Proportional to 77.42, 116.14 and 31.77

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Solution

The fourth proportional to 77.42, 116.14 and 31.77 is: 47.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.42 : 116.14 = 31.77 : x
  2. Step 2: Convert to fraction form
    77.42/116.14 = 31.77/x
  3. Step 3: Cross multiply
    77.42x = 116.14 × 31.77
  4. Step 4: Simplify right side
    77.42x = 3,689.77
  5. Step 5: Solve for x
    x = 3,689.77/77.42
  6. Step 6: Final answer
    x = 47.66

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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.