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Finding the Fourth Proportional to 365.67, 504.50 and 223.83

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Solution

The fourth proportional to 365.67, 504.50 and 223.83 is: 308.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.67 : 504.50 = 223.83 : x
  2. Step 2: Convert to fraction form
    365.67/504.50 = 223.83/x
  3. Step 3: Cross multiply
    365.67x = 504.50 × 223.83
  4. Step 4: Simplify right side
    365.67x = 112,921.12
  5. Step 5: Solve for x
    x = 112,921.12/365.67
  6. Step 6: Final answer
    x = 308.81

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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.