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Finding the Fourth Proportional to 223.89, 309.11 and 177.45

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Solution

The fourth proportional to 223.89, 309.11 and 177.45 is: 244.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.89 : 309.11 = 177.45 : x
  2. Step 2: Convert to fraction form
    223.89/309.11 = 177.45/x
  3. Step 3: Cross multiply
    223.89x = 309.11 × 177.45
  4. Step 4: Simplify right side
    223.89x = 54,850.68
  5. Step 5: Solve for x
    x = 54,850.68/223.89
  6. Step 6: Final answer
    x = 244.99

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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.