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Finding the Fourth Proportional to 353.59, 487.91 and 213.69

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Solution

The fourth proportional to 353.59, 487.91 and 213.69 is: 294.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.59 : 487.91 = 213.69 : x
  2. Step 2: Convert to fraction form
    353.59/487.91 = 213.69/x
  3. Step 3: Cross multiply
    353.59x = 487.91 × 213.69
  4. Step 4: Simplify right side
    353.59x = 104,261.49
  5. Step 5: Solve for x
    x = 104,261.49/353.59
  6. Step 6: Final answer
    x = 294.87

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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.