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Finding the Fourth Proportional to 362.77, 500.49 and 222.78

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Solution

The fourth proportional to 362.77, 500.49 and 222.78 is: 307.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.77 : 500.49 = 222.78 : x
  2. Step 2: Convert to fraction form
    362.77/500.49 = 222.78/x
  3. Step 3: Cross multiply
    362.77x = 500.49 × 222.78
  4. Step 4: Simplify right side
    362.77x = 111,496.66
  5. Step 5: Solve for x
    x = 111,496.66/362.77
  6. Step 6: Final answer
    x = 307.35

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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.