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Finding the Fourth Proportional to 194.96, 292.46 and 86.74

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Solution

The fourth proportional to 194.96, 292.46 and 86.74 is: 130.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.96 : 292.46 = 86.74 : x
  2. Step 2: Convert to fraction form
    194.96/292.46 = 86.74/x
  3. Step 3: Cross multiply
    194.96x = 292.46 × 86.74
  4. Step 4: Simplify right side
    194.96x = 25,367.98
  5. Step 5: Solve for x
    x = 25,367.98/194.96
  6. Step 6: Final answer
    x = 130.12

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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.