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Finding the Fourth Proportional to 209.85, 314.48 and 121.98

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Solution

The fourth proportional to 209.85, 314.48 and 121.98 is: 182.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.85 : 314.48 = 121.98 : x
  2. Step 2: Convert to fraction form
    209.85/314.48 = 121.98/x
  3. Step 3: Cross multiply
    209.85x = 314.48 × 121.98
  4. Step 4: Simplify right side
    209.85x = 38,359.66
  5. Step 5: Solve for x
    x = 38,359.66/209.85
  6. Step 6: Final answer
    x = 182.80

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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.