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Finding the Fourth Proportional to 363.01, 500.74 and 223.19

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Solution

The fourth proportional to 363.01, 500.74 and 223.19 is: 307.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.01 : 500.74 = 223.19 : x
  2. Step 2: Convert to fraction form
    363.01/500.74 = 223.19/x
  3. Step 3: Cross multiply
    363.01x = 500.74 × 223.19
  4. Step 4: Simplify right side
    363.01x = 111,760.16
  5. Step 5: Solve for x
    x = 111,760.16/363.01
  6. Step 6: Final answer
    x = 307.87

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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.