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Finding the Fourth Proportional to 439.87, 659.53 and 208.62

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Solution

The fourth proportional to 439.87, 659.53 and 208.62 is: 312.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.87 : 659.53 = 208.62 : x
  2. Step 2: Convert to fraction form
    439.87/659.53 = 208.62/x
  3. Step 3: Cross multiply
    439.87x = 659.53 × 208.62
  4. Step 4: Simplify right side
    439.87x = 137,591.15
  5. Step 5: Solve for x
    x = 137,591.15/439.87
  6. Step 6: Final answer
    x = 312.80

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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.