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Finding the Fourth Proportional to 222.87, 307.33 and 217.84

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Solution

The fourth proportional to 222.87, 307.33 and 217.84 is: 300.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.87 : 307.33 = 217.84 : x
  2. Step 2: Convert to fraction form
    222.87/307.33 = 217.84/x
  3. Step 3: Cross multiply
    222.87x = 307.33 × 217.84
  4. Step 4: Simplify right side
    222.87x = 66,948.22
  5. Step 5: Solve for x
    x = 66,948.22/222.87
  6. Step 6: Final answer
    x = 300.39

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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.