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Finding the Fourth Proportional to 95.28, 131.48 and 53.83

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Solution

The fourth proportional to 95.28, 131.48 and 53.83 is: 74.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.28 : 131.48 = 53.83 : x
  2. Step 2: Convert to fraction form
    95.28/131.48 = 53.83/x
  3. Step 3: Cross multiply
    95.28x = 131.48 × 53.83
  4. Step 4: Simplify right side
    95.28x = 7,077.57
  5. Step 5: Solve for x
    x = 7,077.57/95.28
  6. Step 6: Final answer
    x = 74.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.