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Finding the Fourth Proportional to 318.76, 440.21 and 208.19

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Solution

The fourth proportional to 318.76, 440.21 and 208.19 is: 287.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.76 : 440.21 = 208.19 : x
  2. Step 2: Convert to fraction form
    318.76/440.21 = 208.19/x
  3. Step 3: Cross multiply
    318.76x = 440.21 × 208.19
  4. Step 4: Simplify right side
    318.76x = 91,648.94
  5. Step 5: Solve for x
    x = 91,648.94/318.76
  6. Step 6: Final answer
    x = 287.52

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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.