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Finding the Fourth Proportional to 211.90, 317.96 and 129.73

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Solution

The fourth proportional to 211.90, 317.96 and 129.73 is: 194.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.90 : 317.96 = 129.73 : x
  2. Step 2: Convert to fraction form
    211.90/317.96 = 129.73/x
  3. Step 3: Cross multiply
    211.90x = 317.96 × 129.73
  4. Step 4: Simplify right side
    211.90x = 41,248.95
  5. Step 5: Solve for x
    x = 41,248.95/211.90
  6. Step 6: Final answer
    x = 194.66

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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.