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Finding the Fourth Proportional to 239.89, 360.02 and 142.43

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Solution

The fourth proportional to 239.89, 360.02 and 142.43 is: 213.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.89 : 360.02 = 142.43 : x
  2. Step 2: Convert to fraction form
    239.89/360.02 = 142.43/x
  3. Step 3: Cross multiply
    239.89x = 360.02 × 142.43
  4. Step 4: Simplify right side
    239.89x = 51,278.89
  5. Step 5: Solve for x
    x = 51,278.89/239.89
  6. Step 6: Final answer
    x = 213.76

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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.