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Finding the Fourth Proportional to 382.25, 527.50 and 216.46

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Solution

The fourth proportional to 382.25, 527.50 and 216.46 is: 298.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.25 : 527.50 = 216.46 : x
  2. Step 2: Convert to fraction form
    382.25/527.50 = 216.46/x
  3. Step 3: Cross multiply
    382.25x = 527.50 × 216.46
  4. Step 4: Simplify right side
    382.25x = 114,182.65
  5. Step 5: Solve for x
    x = 114,182.65/382.25
  6. Step 6: Final answer
    x = 298.72

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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.