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Finding the Fourth Proportional to 484.12, 725.61 and 206.42

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Solution

The fourth proportional to 484.12, 725.61 and 206.42 is: 309.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.12 : 725.61 = 206.42 : x
  2. Step 2: Convert to fraction form
    484.12/725.61 = 206.42/x
  3. Step 3: Cross multiply
    484.12x = 725.61 × 206.42
  4. Step 4: Simplify right side
    484.12x = 149,780.42
  5. Step 5: Solve for x
    x = 149,780.42/484.12
  6. Step 6: Final answer
    x = 309.39

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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.