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Finding the Fourth Proportional to 382.70, 528 and 216.86

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Solution

The fourth proportional to 382.70, 528 and 216.86 is: 299.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.70 : 528 = 216.86 : x
  2. Step 2: Convert to fraction form
    382.70/528 = 216.86/x
  3. Step 3: Cross multiply
    382.70x = 528 × 216.86
  4. Step 4: Simplify right side
    382.70x = 114,502.08
  5. Step 5: Solve for x
    x = 114,502.08/382.70
  6. Step 6: Final answer
    x = 299.20

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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.