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Finding the Fourth Proportional to 95.20, 143.41 and 91.78

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Solution

The fourth proportional to 95.20, 143.41 and 91.78 is: 138.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.20 : 143.41 = 91.78 : x
  2. Step 2: Convert to fraction form
    95.20/143.41 = 91.78/x
  3. Step 3: Cross multiply
    95.20x = 143.41 × 91.78
  4. Step 4: Simplify right side
    95.20x = 13,162.17
  5. Step 5: Solve for x
    x = 13,162.17/95.20
  6. Step 6: Final answer
    x = 138.26

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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.