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Finding the Fourth Proportional to 439.49, 659.34 and 208.37

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Solution

The fourth proportional to 439.49, 659.34 and 208.37 is: 312.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.49 : 659.34 = 208.37 : x
  2. Step 2: Convert to fraction form
    439.49/659.34 = 208.37/x
  3. Step 3: Cross multiply
    439.49x = 659.34 × 208.37
  4. Step 4: Simplify right side
    439.49x = 137,386.68
  5. Step 5: Solve for x
    x = 137,386.68/439.49
  6. Step 6: Final answer
    x = 312.60

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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.