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Finding the Fourth Proportional to 223.83, 307.19 and 217.76

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Solution

The fourth proportional to 223.83, 307.19 and 217.76 is: 298.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.83 : 307.19 = 217.76 : x
  2. Step 2: Convert to fraction form
    223.83/307.19 = 217.76/x
  3. Step 3: Cross multiply
    223.83x = 307.19 × 217.76
  4. Step 4: Simplify right side
    223.83x = 66,892.70
  5. Step 5: Solve for x
    x = 66,892.70/223.83
  6. Step 6: Final answer
    x = 298.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.