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Finding the Fourth Proportional to 483.82, 725.86 and 209.97

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Solution

The fourth proportional to 483.82, 725.86 and 209.97 is: 315.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.82 : 725.86 = 209.97 : x
  2. Step 2: Convert to fraction form
    483.82/725.86 = 209.97/x
  3. Step 3: Cross multiply
    483.82x = 725.86 × 209.97
  4. Step 4: Simplify right side
    483.82x = 152,407.05
  5. Step 5: Solve for x
    x = 152,407.05/483.82
  6. Step 6: Final answer
    x = 315.01

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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.