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Finding the Fourth Proportional to 382.16, 527.44 and 216.42

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Solution

The fourth proportional to 382.16, 527.44 and 216.42 is: 298.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.16 : 527.44 = 216.42 : x
  2. Step 2: Convert to fraction form
    382.16/527.44 = 216.42/x
  3. Step 3: Cross multiply
    382.16x = 527.44 × 216.42
  4. Step 4: Simplify right side
    382.16x = 114,148.56
  5. Step 5: Solve for x
    x = 114,148.56/382.16
  6. Step 6: Final answer
    x = 298.69

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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.