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Finding the Fourth Proportional to 76.86, 115.17 and 53.37

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Solution

The fourth proportional to 76.86, 115.17 and 53.37 is: 79.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.86 : 115.17 = 53.37 : x
  2. Step 2: Convert to fraction form
    76.86/115.17 = 53.37/x
  3. Step 3: Cross multiply
    76.86x = 115.17 × 53.37
  4. Step 4: Simplify right side
    76.86x = 6,146.62
  5. Step 5: Solve for x
    x = 6,146.62/76.86
  6. Step 6: Final answer
    x = 79.97

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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.