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Finding the Fourth Proportional to 322.87, 446.03 and 250.12

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Solution

The fourth proportional to 322.87, 446.03 and 250.12 is: 345.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.87 : 446.03 = 250.12 : x
  2. Step 2: Convert to fraction form
    322.87/446.03 = 250.12/x
  3. Step 3: Cross multiply
    322.87x = 446.03 × 250.12
  4. Step 4: Simplify right side
    322.87x = 111,561.02
  5. Step 5: Solve for x
    x = 111,561.02/322.87
  6. Step 6: Final answer
    x = 345.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.