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Finding the Fourth Proportional to 382.16, 527.40 and 216.40

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Solution

The fourth proportional to 382.16, 527.40 and 216.40 is: 298.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.16 : 527.40 = 216.40 : x
  2. Step 2: Convert to fraction form
    382.16/527.40 = 216.40/x
  3. Step 3: Cross multiply
    382.16x = 527.40 × 216.40
  4. Step 4: Simplify right side
    382.16x = 114,129.36
  5. Step 5: Solve for x
    x = 114,129.36/382.16
  6. Step 6: Final answer
    x = 298.64

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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.