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Finding the Fourth Proportional to 382.46, 527.73 and 216.67

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Solution

The fourth proportional to 382.46, 527.73 and 216.67 is: 298.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.46 : 527.73 = 216.67 : x
  2. Step 2: Convert to fraction form
    382.46/527.73 = 216.67/x
  3. Step 3: Cross multiply
    382.46x = 527.73 × 216.67
  4. Step 4: Simplify right side
    382.46x = 114,343.26
  5. Step 5: Solve for x
    x = 114,343.26/382.46
  6. Step 6: Final answer
    x = 298.97

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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.