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Finding the Fourth Proportional to 381.95, 527.12 and 216.19

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Solution

The fourth proportional to 381.95, 527.12 and 216.19 is: 298.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.95 : 527.12 = 216.19 : x
  2. Step 2: Convert to fraction form
    381.95/527.12 = 216.19/x
  3. Step 3: Cross multiply
    381.95x = 527.12 × 216.19
  4. Step 4: Simplify right side
    381.95x = 113,958.07
  5. Step 5: Solve for x
    x = 113,958.07/381.95
  6. Step 6: Final answer
    x = 298.36

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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.