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Finding the Fourth Proportional to 131.20, 196.48 and 74.24

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Solution

The fourth proportional to 131.20, 196.48 and 74.24 is: 111.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.20 : 196.48 = 74.24 : x
  2. Step 2: Convert to fraction form
    131.20/196.48 = 74.24/x
  3. Step 3: Cross multiply
    131.20x = 196.48 × 74.24
  4. Step 4: Simplify right side
    131.20x = 14,586.68
  5. Step 5: Solve for x
    x = 14,586.68/131.20
  6. Step 6: Final answer
    x = 111.18

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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.