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Finding the Fourth Proportional to 381.15, 525.98 and 206.49

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Solution

The fourth proportional to 381.15, 525.98 and 206.49 is: 284.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.15 : 525.98 = 206.49 : x
  2. Step 2: Convert to fraction form
    381.15/525.98 = 206.49/x
  3. Step 3: Cross multiply
    381.15x = 525.98 × 206.49
  4. Step 4: Simplify right side
    381.15x = 108,612.10
  5. Step 5: Solve for x
    x = 108,612.10/381.15
  6. Step 6: Final answer
    x = 284.96

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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.