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Finding the Fourth Proportional to 439.54, 659.63 and 208.43

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Solution

The fourth proportional to 439.54, 659.63 and 208.43 is: 312.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.54 : 659.63 = 208.43 : x
  2. Step 2: Convert to fraction form
    439.54/659.63 = 208.43/x
  3. Step 3: Cross multiply
    439.54x = 659.63 × 208.43
  4. Step 4: Simplify right side
    439.54x = 137,482.86
  5. Step 5: Solve for x
    x = 137,482.86/439.54
  6. Step 6: Final answer
    x = 312.79

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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.