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Finding the Fourth Proportional to 209.43, 314.04 and 122.79

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Solution

The fourth proportional to 209.43, 314.04 and 122.79 is: 184.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.43 : 314.04 = 122.79 : x
  2. Step 2: Convert to fraction form
    209.43/314.04 = 122.79/x
  3. Step 3: Cross multiply
    209.43x = 314.04 × 122.79
  4. Step 4: Simplify right side
    209.43x = 38,559.40
  5. Step 5: Solve for x
    x = 38,559.40/209.43
  6. Step 6: Final answer
    x = 184.11

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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.