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Finding the Fourth Proportional to 285.64, 394.50 and 216.04

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Solution

The fourth proportional to 285.64, 394.50 and 216.04 is: 298.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.64 : 394.50 = 216.04 : x
  2. Step 2: Convert to fraction form
    285.64/394.50 = 216.04/x
  3. Step 3: Cross multiply
    285.64x = 394.50 × 216.04
  4. Step 4: Simplify right side
    285.64x = 85,227.78
  5. Step 5: Solve for x
    x = 85,227.78/285.64
  6. Step 6: Final answer
    x = 298.37

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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.