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Finding the Fourth Proportional to 222.45, 337.80 and 222.45

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Solution

The fourth proportional to 222.45, 337.80 and 222.45 is: 337.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.45 : 337.80 = 222.45 : x
  2. Step 2: Convert to fraction form
    222.45/337.80 = 222.45/x
  3. Step 3: Cross multiply
    222.45x = 337.80 × 222.45
  4. Step 4: Simplify right side
    222.45x = 75,143.61
  5. Step 5: Solve for x
    x = 75,143.61/222.45
  6. Step 6: Final answer
    x = 337.80

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.