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Finding the Fourth Proportional to 159.18, 239.95 and 132.30

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Solution

The fourth proportional to 159.18, 239.95 and 132.30 is: 199.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.18 : 239.95 = 132.30 : x
  2. Step 2: Convert to fraction form
    159.18/239.95 = 132.30/x
  3. Step 3: Cross multiply
    159.18x = 239.95 × 132.30
  4. Step 4: Simplify right side
    159.18x = 31,745.39
  5. Step 5: Solve for x
    x = 31,745.39/159.18
  6. Step 6: Final answer
    x = 199.43

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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.