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Finding the Fourth Proportional to 143.67, 215.22 and 94.95

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Solution

The fourth proportional to 143.67, 215.22 and 94.95 is: 142.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.67 : 215.22 = 94.95 : x
  2. Step 2: Convert to fraction form
    143.67/215.22 = 94.95/x
  3. Step 3: Cross multiply
    143.67x = 215.22 × 94.95
  4. Step 4: Simplify right side
    143.67x = 20,435.14
  5. Step 5: Solve for x
    x = 20,435.14/143.67
  6. Step 6: Final answer
    x = 142.24

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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.