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Finding the Fourth Proportional to 439.90, 659.56 and 208.46

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Solution

The fourth proportional to 439.90, 659.56 and 208.46 is: 312.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.90 : 659.56 = 208.46 : x
  2. Step 2: Convert to fraction form
    439.90/659.56 = 208.46/x
  3. Step 3: Cross multiply
    439.90x = 659.56 × 208.46
  4. Step 4: Simplify right side
    439.90x = 137,491.88
  5. Step 5: Solve for x
    x = 137,491.88/439.90
  6. Step 6: Final answer
    x = 312.55

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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.