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Finding the Fourth Proportional to 158.64, 217.98 and 132.72

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Solution

The fourth proportional to 158.64, 217.98 and 132.72 is: 182.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.64 : 217.98 = 132.72 : x
  2. Step 2: Convert to fraction form
    158.64/217.98 = 132.72/x
  3. Step 3: Cross multiply
    158.64x = 217.98 × 132.72
  4. Step 4: Simplify right side
    158.64x = 28,930.31
  5. Step 5: Solve for x
    x = 28,930.31/158.64
  6. Step 6: Final answer
    x = 182.36

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.