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Finding the Fourth Proportional to 297.87, 443.89 and 288.09

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Solution

The fourth proportional to 297.87, 443.89 and 288.09 is: 429.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.87 : 443.89 = 288.09 : x
  2. Step 2: Convert to fraction form
    297.87/443.89 = 288.09/x
  3. Step 3: Cross multiply
    297.87x = 443.89 × 288.09
  4. Step 4: Simplify right side
    297.87x = 127,876.61
  5. Step 5: Solve for x
    x = 127,876.61/297.87
  6. Step 6: Final answer
    x = 429.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.