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Finding the Fourth Proportional to 140.59, 209.93 and 121.15

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Solution

The fourth proportional to 140.59, 209.93 and 121.15 is: 180.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.59 : 209.93 = 121.15 : x
  2. Step 2: Convert to fraction form
    140.59/209.93 = 121.15/x
  3. Step 3: Cross multiply
    140.59x = 209.93 × 121.15
  4. Step 4: Simplify right side
    140.59x = 25,433.02
  5. Step 5: Solve for x
    x = 25,433.02/140.59
  6. Step 6: Final answer
    x = 180.90

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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.