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Finding the Fourth Proportional to 484.22, 725.73 and 209.99

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Solution

The fourth proportional to 484.22, 725.73 and 209.99 is: 314.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.22 : 725.73 = 209.99 : x
  2. Step 2: Convert to fraction form
    484.22/725.73 = 209.99/x
  3. Step 3: Cross multiply
    484.22x = 725.73 × 209.99
  4. Step 4: Simplify right side
    484.22x = 152,396.04
  5. Step 5: Solve for x
    x = 152,396.04/484.22
  6. Step 6: Final answer
    x = 314.72

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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.