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Finding the Fourth Proportional to 213.52, 319.80 and 132.16

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Solution

The fourth proportional to 213.52, 319.80 and 132.16 is: 197.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.52 : 319.80 = 132.16 : x
  2. Step 2: Convert to fraction form
    213.52/319.80 = 132.16/x
  3. Step 3: Cross multiply
    213.52x = 319.80 × 132.16
  4. Step 4: Simplify right side
    213.52x = 42,264.77
  5. Step 5: Solve for x
    x = 42,264.77/213.52
  6. Step 6: Final answer
    x = 197.94

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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.