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Finding the Fourth Proportional to 296.27, 443.87 and 218.38

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Solution

The fourth proportional to 296.27, 443.87 and 218.38 is: 327.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.27 : 443.87 = 218.38 : x
  2. Step 2: Convert to fraction form
    296.27/443.87 = 218.38/x
  3. Step 3: Cross multiply
    296.27x = 443.87 × 218.38
  4. Step 4: Simplify right side
    296.27x = 96,929.02
  5. Step 5: Solve for x
    x = 96,929.02/296.27
  6. Step 6: Final answer
    x = 327.16

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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.