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Finding the Fourth Proportional to 297.38, 409.88 and 208.89

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Solution

The fourth proportional to 297.38, 409.88 and 208.89 is: 287.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.38 : 409.88 = 208.89 : x
  2. Step 2: Convert to fraction form
    297.38/409.88 = 208.89/x
  3. Step 3: Cross multiply
    297.38x = 409.88 × 208.89
  4. Step 4: Simplify right side
    297.38x = 85,619.83
  5. Step 5: Solve for x
    x = 85,619.83/297.38
  6. Step 6: Final answer
    x = 287.91

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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.