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Finding the Fourth Proportional to 362.80, 500.93 and 223.11

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Solution

The fourth proportional to 362.80, 500.93 and 223.11 is: 308.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.80 : 500.93 = 223.11 : x
  2. Step 2: Convert to fraction form
    362.80/500.93 = 223.11/x
  3. Step 3: Cross multiply
    362.80x = 500.93 × 223.11
  4. Step 4: Simplify right side
    362.80x = 111,761.87
  5. Step 5: Solve for x
    x = 111,761.87/362.80
  6. Step 6: Final answer
    x = 308.05

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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.