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Finding the Fourth Proportional to 76.87, 115.22 and 56.55

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Solution

The fourth proportional to 76.87, 115.22 and 56.55 is: 84.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.87 : 115.22 = 56.55 : x
  2. Step 2: Convert to fraction form
    76.87/115.22 = 56.55/x
  3. Step 3: Cross multiply
    76.87x = 115.22 × 56.55
  4. Step 4: Simplify right side
    76.87x = 6,515.83
  5. Step 5: Solve for x
    x = 6,515.83/76.87
  6. Step 6: Final answer
    x = 84.77

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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.