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Finding the Fourth Proportional to 381.35, 526.25 and 206.69

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Solution

The fourth proportional to 381.35, 526.25 and 206.69 is: 285.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.35 : 526.25 = 206.69 : x
  2. Step 2: Convert to fraction form
    381.35/526.25 = 206.69/x
  3. Step 3: Cross multiply
    381.35x = 526.25 × 206.69
  4. Step 4: Simplify right side
    381.35x = 108,770.61
  5. Step 5: Solve for x
    x = 108,770.61/381.35
  6. Step 6: Final answer
    x = 285.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.