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Finding the Fourth Proportional to 226.99, 342.16 and 213.78

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Solution

The fourth proportional to 226.99, 342.16 and 213.78 is: 322.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.99 : 342.16 = 213.78 : x
  2. Step 2: Convert to fraction form
    226.99/342.16 = 213.78/x
  3. Step 3: Cross multiply
    226.99x = 342.16 × 213.78
  4. Step 4: Simplify right side
    226.99x = 73,146.96
  5. Step 5: Solve for x
    x = 73,146.96/226.99
  6. Step 6: Final answer
    x = 322.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.