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Finding the Fourth Proportional to 439.49, 658.74 and 208.02

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Solution

The fourth proportional to 439.49, 658.74 and 208.02 is: 311.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.49 : 658.74 = 208.02 : x
  2. Step 2: Convert to fraction form
    439.49/658.74 = 208.02/x
  3. Step 3: Cross multiply
    439.49x = 658.74 × 208.02
  4. Step 4: Simplify right side
    439.49x = 137,031.09
  5. Step 5: Solve for x
    x = 137,031.09/439.49
  6. Step 6: Final answer
    x = 311.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.