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Finding the Fourth Proportional to 131.74, 196.40 and 128.53

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Solution

The fourth proportional to 131.74, 196.40 and 128.53 is: 191.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.74 : 196.40 = 128.53 : x
  2. Step 2: Convert to fraction form
    131.74/196.40 = 128.53/x
  3. Step 3: Cross multiply
    131.74x = 196.40 × 128.53
  4. Step 4: Simplify right side
    131.74x = 25,243.29
  5. Step 5: Solve for x
    x = 25,243.29/131.74
  6. Step 6: Final answer
    x = 191.61

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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.