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Finding the Fourth Proportional to 222.05, 306.44 and 133.53

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Solution

The fourth proportional to 222.05, 306.44 and 133.53 is: 184.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.05 : 306.44 = 133.53 : x
  2. Step 2: Convert to fraction form
    222.05/306.44 = 133.53/x
  3. Step 3: Cross multiply
    222.05x = 306.44 × 133.53
  4. Step 4: Simplify right side
    222.05x = 40,918.93
  5. Step 5: Solve for x
    x = 40,918.93/222.05
  6. Step 6: Final answer
    x = 184.28

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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.