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Finding the Fourth Proportional to 223.75, 334.20 and 189.12

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Solution

The fourth proportional to 223.75, 334.20 and 189.12 is: 282.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.75 : 334.20 = 189.12 : x
  2. Step 2: Convert to fraction form
    223.75/334.20 = 189.12/x
  3. Step 3: Cross multiply
    223.75x = 334.20 × 189.12
  4. Step 4: Simplify right side
    223.75x = 63,203.90
  5. Step 5: Solve for x
    x = 63,203.90/223.75
  6. Step 6: Final answer
    x = 282.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.