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Finding the Fourth Proportional to 95.52, 143.28 and 30.52

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Solution

The fourth proportional to 95.52, 143.28 and 30.52 is: 45.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.52 : 143.28 = 30.52 : x
  2. Step 2: Convert to fraction form
    95.52/143.28 = 30.52/x
  3. Step 3: Cross multiply
    95.52x = 143.28 × 30.52
  4. Step 4: Simplify right side
    95.52x = 4,372.39
  5. Step 5: Solve for x
    x = 4,372.39/95.52
  6. Step 6: Final answer
    x = 45.78

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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.