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Finding the Fourth Proportional to 76.40, 115.24 and 75.28

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Solution

The fourth proportional to 76.40, 115.24 and 75.28 is: 113.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.40 : 115.24 = 75.28 : x
  2. Step 2: Convert to fraction form
    76.40/115.24 = 75.28/x
  3. Step 3: Cross multiply
    76.40x = 115.24 × 75.28
  4. Step 4: Simplify right side
    76.40x = 8,675.27
  5. Step 5: Solve for x
    x = 8,675.27/76.40
  6. Step 6: Final answer
    x = 113.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.