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Finding the Fourth Proportional to 421.32, 632.10 and 132.78

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Solution

The fourth proportional to 421.32, 632.10 and 132.78 is: 199.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.32 : 632.10 = 132.78 : x
  2. Step 2: Convert to fraction form
    421.32/632.10 = 132.78/x
  3. Step 3: Cross multiply
    421.32x = 632.10 × 132.78
  4. Step 4: Simplify right side
    421.32x = 83,930.24
  5. Step 5: Solve for x
    x = 83,930.24/421.32
  6. Step 6: Final answer
    x = 199.21

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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.