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Finding the Fourth Proportional to 288.20, 397.78 and 222.84

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Solution

The fourth proportional to 288.20, 397.78 and 222.84 is: 307.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.20 : 397.78 = 222.84 : x
  2. Step 2: Convert to fraction form
    288.20/397.78 = 222.84/x
  3. Step 3: Cross multiply
    288.20x = 397.78 × 222.84
  4. Step 4: Simplify right side
    288.20x = 88,641.30
  5. Step 5: Solve for x
    x = 88,641.30/288.20
  6. Step 6: Final answer
    x = 307.57

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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.