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Finding the Fourth Proportional to 212.97, 319.41 and 91.23

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Solution

The fourth proportional to 212.97, 319.41 and 91.23 is: 136.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.97 : 319.41 = 91.23 : x
  2. Step 2: Convert to fraction form
    212.97/319.41 = 91.23/x
  3. Step 3: Cross multiply
    212.97x = 319.41 × 91.23
  4. Step 4: Simplify right side
    212.97x = 29,139.77
  5. Step 5: Solve for x
    x = 29,139.77/212.97
  6. Step 6: Final answer
    x = 136.83

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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.