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Finding the Fourth Proportional to 353.34, 487.58 and 206.06

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Solution

The fourth proportional to 353.34, 487.58 and 206.06 is: 284.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.34 : 487.58 = 206.06 : x
  2. Step 2: Convert to fraction form
    353.34/487.58 = 206.06/x
  3. Step 3: Cross multiply
    353.34x = 487.58 × 206.06
  4. Step 4: Simplify right side
    353.34x = 100,470.73
  5. Step 5: Solve for x
    x = 100,470.73/353.34
  6. Step 6: Final answer
    x = 284.35

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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.