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Finding the Fourth Proportional to 226.01, 313.32 and 213.69

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Solution

The fourth proportional to 226.01, 313.32 and 213.69 is: 296.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.01 : 313.32 = 213.69 : x
  2. Step 2: Convert to fraction form
    226.01/313.32 = 213.69/x
  3. Step 3: Cross multiply
    226.01x = 313.32 × 213.69
  4. Step 4: Simplify right side
    226.01x = 66,955.33
  5. Step 5: Solve for x
    x = 66,955.33/226.01
  6. Step 6: Final answer
    x = 296.25

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.