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Finding the Fourth Proportional to 382.18, 527.46 and 216.40

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Solution

The fourth proportional to 382.18, 527.46 and 216.40 is: 298.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.18 : 527.46 = 216.40 : x
  2. Step 2: Convert to fraction form
    382.18/527.46 = 216.40/x
  3. Step 3: Cross multiply
    382.18x = 527.46 × 216.40
  4. Step 4: Simplify right side
    382.18x = 114,142.34
  5. Step 5: Solve for x
    x = 114,142.34/382.18
  6. Step 6: Final answer
    x = 298.66

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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.