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Finding the Fourth Proportional to 121.34, 182.12 and 98.80

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Solution

The fourth proportional to 121.34, 182.12 and 98.80 is: 148.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.34 : 182.12 = 98.80 : x
  2. Step 2: Convert to fraction form
    121.34/182.12 = 98.80/x
  3. Step 3: Cross multiply
    121.34x = 182.12 × 98.80
  4. Step 4: Simplify right side
    121.34x = 17,992.51
  5. Step 5: Solve for x
    x = 17,992.51/121.34
  6. Step 6: Final answer
    x = 148.28

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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.