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Finding the Fourth Proportional to 131.16, 196.44 and 66.04

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Solution

The fourth proportional to 131.16, 196.44 and 66.04 is: 98.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.16 : 196.44 = 66.04 : x
  2. Step 2: Convert to fraction form
    131.16/196.44 = 66.04/x
  3. Step 3: Cross multiply
    131.16x = 196.44 × 66.04
  4. Step 4: Simplify right side
    131.16x = 12,972.90
  5. Step 5: Solve for x
    x = 12,972.90/131.16
  6. Step 6: Final answer
    x = 98.91

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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.