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Finding the Fourth Proportional to 318.88, 478.34 and 136.27

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Solution

The fourth proportional to 318.88, 478.34 and 136.27 is: 204.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.88 : 478.34 = 136.27 : x
  2. Step 2: Convert to fraction form
    318.88/478.34 = 136.27/x
  3. Step 3: Cross multiply
    318.88x = 478.34 × 136.27
  4. Step 4: Simplify right side
    318.88x = 65,185.93
  5. Step 5: Solve for x
    x = 65,185.93/318.88
  6. Step 6: Final answer
    x = 204.42

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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.