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Finding the Fourth Proportional to 296.00, 443.22 and 208.86

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Solution

The fourth proportional to 296.00, 443.22 and 208.86 is: 312.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.00 : 443.22 = 208.86 : x
  2. Step 2: Convert to fraction form
    296.00/443.22 = 208.86/x
  3. Step 3: Cross multiply
    296.00x = 443.22 × 208.86
  4. Step 4: Simplify right side
    296.00x = 92,569.30
  5. Step 5: Solve for x
    x = 92,569.30/296.00
  6. Step 6: Final answer
    x = 312.74

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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.