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Finding the Fourth Proportional to 253.80, 380.76 and 132.12

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Solution

The fourth proportional to 253.80, 380.76 and 132.12 is: 198.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.80 : 380.76 = 132.12 : x
  2. Step 2: Convert to fraction form
    253.80/380.76 = 132.12/x
  3. Step 3: Cross multiply
    253.80x = 380.76 × 132.12
  4. Step 4: Simplify right side
    253.80x = 50,306.01
  5. Step 5: Solve for x
    x = 50,306.01/253.80
  6. Step 6: Final answer
    x = 198.21

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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.