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Finding the Fourth Proportional to 159.45, 238.22 and 132.18

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Solution

The fourth proportional to 159.45, 238.22 and 132.18 is: 197.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.45 : 238.22 = 132.18 : x
  2. Step 2: Convert to fraction form
    159.45/238.22 = 132.18/x
  3. Step 3: Cross multiply
    159.45x = 238.22 × 132.18
  4. Step 4: Simplify right side
    159.45x = 31,487.26
  5. Step 5: Solve for x
    x = 31,487.26/159.45
  6. Step 6: Final answer
    x = 197.47

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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.