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Finding the Fourth Proportional to 381.11, 525.95 and 213.06

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Solution

The fourth proportional to 381.11, 525.95 and 213.06 is: 294.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.11 : 525.95 = 213.06 : x
  2. Step 2: Convert to fraction form
    381.11/525.95 = 213.06/x
  3. Step 3: Cross multiply
    381.11x = 525.95 × 213.06
  4. Step 4: Simplify right side
    381.11x = 112,057.84
  5. Step 5: Solve for x
    x = 112,057.84/381.11
  6. Step 6: Final answer
    x = 294.03

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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.