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Finding the Fourth Proportional to 310.20, 428.36 and 222.72

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Solution

The fourth proportional to 310.20, 428.36 and 222.72 is: 307.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.20 : 428.36 = 222.72 : x
  2. Step 2: Convert to fraction form
    310.20/428.36 = 222.72/x
  3. Step 3: Cross multiply
    310.20x = 428.36 × 222.72
  4. Step 4: Simplify right side
    310.20x = 95,404.34
  5. Step 5: Solve for x
    x = 95,404.34/310.20
  6. Step 6: Final answer
    x = 307.56

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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.