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Finding the Fourth Proportional to 381.46, 526.39 and 215.68

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Solution

The fourth proportional to 381.46, 526.39 and 215.68 is: 297.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.46 : 526.39 = 215.68 : x
  2. Step 2: Convert to fraction form
    381.46/526.39 = 215.68/x
  3. Step 3: Cross multiply
    381.46x = 526.39 × 215.68
  4. Step 4: Simplify right side
    381.46x = 113,531.80
  5. Step 5: Solve for x
    x = 113,531.80/381.46
  6. Step 6: Final answer
    x = 297.62

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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.