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Finding the Fourth Proportional to 76.86, 115.14 and 46.44

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Solution

The fourth proportional to 76.86, 115.14 and 46.44 is: 69.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.86 : 115.14 = 46.44 : x
  2. Step 2: Convert to fraction form
    76.86/115.14 = 46.44/x
  3. Step 3: Cross multiply
    76.86x = 115.14 × 46.44
  4. Step 4: Simplify right side
    76.86x = 5,347.10
  5. Step 5: Solve for x
    x = 5,347.10/76.86
  6. Step 6: Final answer
    x = 69.57

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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.