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Finding the Fourth Proportional to 121.34, 180.99 and 103.10

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Solution

The fourth proportional to 121.34, 180.99 and 103.10 is: 153.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.34 : 180.99 = 103.10 : x
  2. Step 2: Convert to fraction form
    121.34/180.99 = 103.10/x
  3. Step 3: Cross multiply
    121.34x = 180.99 × 103.10
  4. Step 4: Simplify right side
    121.34x = 18,659.55
  5. Step 5: Solve for x
    x = 18,659.55/121.34
  6. Step 6: Final answer
    x = 153.78

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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.