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Finding the Fourth Proportional to 381.10, 525.91 and 215.31

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Solution

The fourth proportional to 381.10, 525.91 and 215.31 is: 297.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.10 : 525.91 = 215.31 : x
  2. Step 2: Convert to fraction form
    381.10/525.91 = 215.31/x
  3. Step 3: Cross multiply
    381.10x = 525.91 × 215.31
  4. Step 4: Simplify right side
    381.10x = 113,233.47
  5. Step 5: Solve for x
    x = 113,233.47/381.10
  6. Step 6: Final answer
    x = 297.12

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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.