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Finding the Fourth Proportional to 194.91, 269.12 and 151.17

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Solution

The fourth proportional to 194.91, 269.12 and 151.17 is: 208.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.91 : 269.12 = 151.17 : x
  2. Step 2: Convert to fraction form
    194.91/269.12 = 151.17/x
  3. Step 3: Cross multiply
    194.91x = 269.12 × 151.17
  4. Step 4: Simplify right side
    194.91x = 40,682.24
  5. Step 5: Solve for x
    x = 40,682.24/194.91
  6. Step 6: Final answer
    x = 208.73

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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.