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Finding the Fourth Proportional to 286.12, 394.32 and 216.04

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Solution

The fourth proportional to 286.12, 394.32 and 216.04 is: 297.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.12 : 394.32 = 216.04 : x
  2. Step 2: Convert to fraction form
    286.12/394.32 = 216.04/x
  3. Step 3: Cross multiply
    286.12x = 394.32 × 216.04
  4. Step 4: Simplify right side
    286.12x = 85,188.89
  5. Step 5: Solve for x
    x = 85,188.89/286.12
  6. Step 6: Final answer
    x = 297.74

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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.