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Finding the Fourth Proportional to 318.63, 439.98 and 208.08

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Solution

The fourth proportional to 318.63, 439.98 and 208.08 is: 287.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.63 : 439.98 = 208.08 : x
  2. Step 2: Convert to fraction form
    318.63/439.98 = 208.08/x
  3. Step 3: Cross multiply
    318.63x = 439.98 × 208.08
  4. Step 4: Simplify right side
    318.63x = 91,551.04
  5. Step 5: Solve for x
    x = 91,551.04/318.63
  6. Step 6: Final answer
    x = 287.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.