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Finding the Fourth Proportional to 381.87, 527 and 216.10

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Solution

The fourth proportional to 381.87, 527 and 216.10 is: 298.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.87 : 527 = 216.10 : x
  2. Step 2: Convert to fraction form
    381.87/527 = 216.10/x
  3. Step 3: Cross multiply
    381.87x = 527 × 216.10
  4. Step 4: Simplify right side
    381.87x = 113,884.70
  5. Step 5: Solve for x
    x = 113,884.70/381.87
  6. Step 6: Final answer
    x = 298.23

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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.