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Finding the Fourth Proportional to 222.26, 307.03 and 173.78

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Solution

The fourth proportional to 222.26, 307.03 and 173.78 is: 240.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.26 : 307.03 = 173.78 : x
  2. Step 2: Convert to fraction form
    222.26/307.03 = 173.78/x
  3. Step 3: Cross multiply
    222.26x = 307.03 × 173.78
  4. Step 4: Simplify right side
    222.26x = 53,353.70
  5. Step 5: Solve for x
    x = 53,353.70/222.26
  6. Step 6: Final answer
    x = 240.05

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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.