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Finding the Fourth Proportional to 130.41, 196.59 and 121.61

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Solution

The fourth proportional to 130.41, 196.59 and 121.61 is: 183.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.41 : 196.59 = 121.61 : x
  2. Step 2: Convert to fraction form
    130.41/196.59 = 121.61/x
  3. Step 3: Cross multiply
    130.41x = 196.59 × 121.61
  4. Step 4: Simplify right side
    130.41x = 23,906.33
  5. Step 5: Solve for x
    x = 23,906.33/130.41
  6. Step 6: Final answer
    x = 183.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.