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Finding the Fourth Proportional to 121.42, 182.29 and 104.41

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Solution

The fourth proportional to 121.42, 182.29 and 104.41 is: 156.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.42 : 182.29 = 104.41 : x
  2. Step 2: Convert to fraction form
    121.42/182.29 = 104.41/x
  3. Step 3: Cross multiply
    121.42x = 182.29 × 104.41
  4. Step 4: Simplify right side
    121.42x = 19,032.38
  5. Step 5: Solve for x
    x = 19,032.38/121.42
  6. Step 6: Final answer
    x = 156.75

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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.