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Finding the Fourth Proportional to 223.09, 334.09 and 154.42

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Solution

The fourth proportional to 223.09, 334.09 and 154.42 is: 231.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.09 : 334.09 = 154.42 : x
  2. Step 2: Convert to fraction form
    223.09/334.09 = 154.42/x
  3. Step 3: Cross multiply
    223.09x = 334.09 × 154.42
  4. Step 4: Simplify right side
    223.09x = 51,587.74
  5. Step 5: Solve for x
    x = 51,587.74/223.09
  6. Step 6: Final answer
    x = 231.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.