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Finding the Fourth Proportional to 297.43, 410.70 and 204.14

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Solution

The fourth proportional to 297.43, 410.70 and 204.14 is: 281.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.43 : 410.70 = 204.14 : x
  2. Step 2: Convert to fraction form
    297.43/410.70 = 204.14/x
  3. Step 3: Cross multiply
    297.43x = 410.70 × 204.14
  4. Step 4: Simplify right side
    297.43x = 83,840.30
  5. Step 5: Solve for x
    x = 83,840.30/297.43
  6. Step 6: Final answer
    x = 281.88

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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.