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Finding the Fourth Proportional to 381.26, 526.23 and 215.57

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Solution

The fourth proportional to 381.26, 526.23 and 215.57 is: 297.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.26 : 526.23 = 215.57 : x
  2. Step 2: Convert to fraction form
    381.26/526.23 = 215.57/x
  3. Step 3: Cross multiply
    381.26x = 526.23 × 215.57
  4. Step 4: Simplify right side
    381.26x = 113,439.40
  5. Step 5: Solve for x
    x = 113,439.40/381.26
  6. Step 6: Final answer
    x = 297.54

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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.