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Finding the Fourth Proportional to 95.28, 130.87 and 84.28

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Solution

The fourth proportional to 95.28, 130.87 and 84.28 is: 115.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.28 : 130.87 = 84.28 : x
  2. Step 2: Convert to fraction form
    95.28/130.87 = 84.28/x
  3. Step 3: Cross multiply
    95.28x = 130.87 × 84.28
  4. Step 4: Simplify right side
    95.28x = 11,029.72
  5. Step 5: Solve for x
    x = 11,029.72/95.28
  6. Step 6: Final answer
    x = 115.76

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.