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Finding the Fourth Proportional to 286.13, 394.99 and 216.20

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Solution

The fourth proportional to 286.13, 394.99 and 216.20 is: 298.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.13 : 394.99 = 216.20 : x
  2. Step 2: Convert to fraction form
    286.13/394.99 = 216.20/x
  3. Step 3: Cross multiply
    286.13x = 394.99 × 216.20
  4. Step 4: Simplify right side
    286.13x = 85,398.50
  5. Step 5: Solve for x
    x = 85,398.50/286.13
  6. Step 6: Final answer
    x = 298.46

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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.