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Finding the Fourth Proportional to 422.13, 632.90 and 216.53

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Solution

The fourth proportional to 422.13, 632.90 and 216.53 is: 324.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.13 : 632.90 = 216.53 : x
  2. Step 2: Convert to fraction form
    422.13/632.90 = 216.53/x
  3. Step 3: Cross multiply
    422.13x = 632.90 × 216.53
  4. Step 4: Simplify right side
    422.13x = 137,041.84
  5. Step 5: Solve for x
    x = 137,041.84/422.13
  6. Step 6: Final answer
    x = 324.64

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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.