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Finding the Fourth Proportional to 484.10, 725.85 and 209.96

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Solution

The fourth proportional to 484.10, 725.85 and 209.96 is: 314.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.10 : 725.85 = 209.96 : x
  2. Step 2: Convert to fraction form
    484.10/725.85 = 209.96/x
  3. Step 3: Cross multiply
    484.10x = 725.85 × 209.96
  4. Step 4: Simplify right side
    484.10x = 152,395.84
  5. Step 5: Solve for x
    x = 152,395.84/484.10
  6. Step 6: Final answer
    x = 314.81

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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.