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Finding the Fourth Proportional to 131.64, 196.36 and 129.21

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Solution

The fourth proportional to 131.64, 196.36 and 129.21 is: 192.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.64 : 196.36 = 129.21 : x
  2. Step 2: Convert to fraction form
    131.64/196.36 = 129.21/x
  3. Step 3: Cross multiply
    131.64x = 196.36 × 129.21
  4. Step 4: Simplify right side
    131.64x = 25,371.68
  5. Step 5: Solve for x
    x = 25,371.68/131.64
  6. Step 6: Final answer
    x = 192.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.