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Finding the Fourth Proportional to 143.67, 215.36 and 92.42

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Solution

The fourth proportional to 143.67, 215.36 and 92.42 is: 138.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.67 : 215.36 = 92.42 : x
  2. Step 2: Convert to fraction form
    143.67/215.36 = 92.42/x
  3. Step 3: Cross multiply
    143.67x = 215.36 × 92.42
  4. Step 4: Simplify right side
    143.67x = 19,902.58
  5. Step 5: Solve for x
    x = 19,902.58/143.67
  6. Step 6: Final answer
    x = 138.53

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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.