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Finding the Fourth Proportional to 423.11, 633.84 and 216.96

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Solution

The fourth proportional to 423.11, 633.84 and 216.96 is: 325.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.11 : 633.84 = 216.96 : x
  2. Step 2: Convert to fraction form
    423.11/633.84 = 216.96/x
  3. Step 3: Cross multiply
    423.11x = 633.84 × 216.96
  4. Step 4: Simplify right side
    423.11x = 137,517.93
  5. Step 5: Solve for x
    x = 137,517.93/423.11
  6. Step 6: Final answer
    x = 325.02

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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.