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Finding the Fourth Proportional to 194.78, 292.26 and 130.76

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Solution

The fourth proportional to 194.78, 292.26 and 130.76 is: 196.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.78 : 292.26 = 130.76 : x
  2. Step 2: Convert to fraction form
    194.78/292.26 = 130.76/x
  3. Step 3: Cross multiply
    194.78x = 292.26 × 130.76
  4. Step 4: Simplify right side
    194.78x = 38,215.92
  5. Step 5: Solve for x
    x = 38,215.92/194.78
  6. Step 6: Final answer
    x = 196.20

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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.