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Finding the Fourth Proportional to 76.44, 115.04 and 57.28

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Solution

The fourth proportional to 76.44, 115.04 and 57.28 is: 86.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.44 : 115.04 = 57.28 : x
  2. Step 2: Convert to fraction form
    76.44/115.04 = 57.28/x
  3. Step 3: Cross multiply
    76.44x = 115.04 × 57.28
  4. Step 4: Simplify right side
    76.44x = 6,589.89
  5. Step 5: Solve for x
    x = 6,589.89/76.44
  6. Step 6: Final answer
    x = 86.21

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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.