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Finding the Fourth Proportional to 297.14, 443.29 and 283.38

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Solution

The fourth proportional to 297.14, 443.29 and 283.38 is: 422.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.14 : 443.29 = 283.38 : x
  2. Step 2: Convert to fraction form
    297.14/443.29 = 283.38/x
  3. Step 3: Cross multiply
    297.14x = 443.29 × 283.38
  4. Step 4: Simplify right side
    297.14x = 125,618.10
  5. Step 5: Solve for x
    x = 125,618.10/297.14
  6. Step 6: Final answer
    x = 422.76

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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.