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Finding the Fourth Proportional to 222.52, 306.82 and 202.18

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Solution

The fourth proportional to 222.52, 306.82 and 202.18 is: 278.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.52 : 306.82 = 202.18 : x
  2. Step 2: Convert to fraction form
    222.52/306.82 = 202.18/x
  3. Step 3: Cross multiply
    222.52x = 306.82 × 202.18
  4. Step 4: Simplify right side
    222.52x = 62,032.87
  5. Step 5: Solve for x
    x = 62,032.87/222.52
  6. Step 6: Final answer
    x = 278.77

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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.