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Finding the Fourth Proportional to 194.47, 292.11 and 113.27

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Solution

The fourth proportional to 194.47, 292.11 and 113.27 is: 170.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.47 : 292.11 = 113.27 : x
  2. Step 2: Convert to fraction form
    194.47/292.11 = 113.27/x
  3. Step 3: Cross multiply
    194.47x = 292.11 × 113.27
  4. Step 4: Simplify right side
    194.47x = 33,085.41
  5. Step 5: Solve for x
    x = 33,085.41/194.47
  6. Step 6: Final answer
    x = 170.13

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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.