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Finding the Fourth Proportional to 353.11, 487.29 and 205.71

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Solution

The fourth proportional to 353.11, 487.29 and 205.71 is: 283.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.11 : 487.29 = 205.71 : x
  2. Step 2: Convert to fraction form
    353.11/487.29 = 205.71/x
  3. Step 3: Cross multiply
    353.11x = 487.29 × 205.71
  4. Step 4: Simplify right side
    353.11x = 100,242.90
  5. Step 5: Solve for x
    x = 100,242.90/353.11
  6. Step 6: Final answer
    x = 283.89

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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.