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Finding the Fourth Proportional to 95.20, 141.94 and 92.83

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Solution

The fourth proportional to 95.20, 141.94 and 92.83 is: 138.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.20 : 141.94 = 92.83 : x
  2. Step 2: Convert to fraction form
    95.20/141.94 = 92.83/x
  3. Step 3: Cross multiply
    95.20x = 141.94 × 92.83
  4. Step 4: Simplify right side
    95.20x = 13,175.83
  5. Step 5: Solve for x
    x = 13,175.83/95.20
  6. Step 6: Final answer
    x = 138.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.