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Finding the Fourth Proportional to 382.42, 527.76 and 216.63

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Solution

The fourth proportional to 382.42, 527.76 and 216.63 is: 298.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.42 : 527.76 = 216.63 : x
  2. Step 2: Convert to fraction form
    382.42/527.76 = 216.63/x
  3. Step 3: Cross multiply
    382.42x = 527.76 × 216.63
  4. Step 4: Simplify right side
    382.42x = 114,328.65
  5. Step 5: Solve for x
    x = 114,328.65/382.42
  6. Step 6: Final answer
    x = 298.96

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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.