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Finding the Fourth Proportional to 439.25, 657.95 and 208.32

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Solution

The fourth proportional to 439.25, 657.95 and 208.32 is: 312.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.25 : 657.95 = 208.32 : x
  2. Step 2: Convert to fraction form
    439.25/657.95 = 208.32/x
  3. Step 3: Cross multiply
    439.25x = 657.95 × 208.32
  4. Step 4: Simplify right side
    439.25x = 137,064.92
  5. Step 5: Solve for x
    x = 137,064.92/439.25
  6. Step 6: Final answer
    x = 312.04

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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.