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Finding the Fourth Proportional to 353.04, 487.28 and 205.76

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Solution

The fourth proportional to 353.04, 487.28 and 205.76 is: 284.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.04 : 487.28 = 205.76 : x
  2. Step 2: Convert to fraction form
    353.04/487.28 = 205.76/x
  3. Step 3: Cross multiply
    353.04x = 487.28 × 205.76
  4. Step 4: Simplify right side
    353.04x = 100,262.73
  5. Step 5: Solve for x
    x = 100,262.73/353.04
  6. Step 6: Final answer
    x = 284.00

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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.