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Finding the Fourth Proportional to 222.67, 307.56 and 202.96

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Solution

The fourth proportional to 222.67, 307.56 and 202.96 is: 280.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.67 : 307.56 = 202.96 : x
  2. Step 2: Convert to fraction form
    222.67/307.56 = 202.96/x
  3. Step 3: Cross multiply
    222.67x = 307.56 × 202.96
  4. Step 4: Simplify right side
    222.67x = 62,422.38
  5. Step 5: Solve for x
    x = 62,422.38/222.67
  6. Step 6: Final answer
    x = 280.34

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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.