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Finding the Fourth Proportional to 310.62, 428.19 and 223.14

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Solution

The fourth proportional to 310.62, 428.19 and 223.14 is: 307.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.62 : 428.19 = 223.14 : x
  2. Step 2: Convert to fraction form
    310.62/428.19 = 223.14/x
  3. Step 3: Cross multiply
    310.62x = 428.19 × 223.14
  4. Step 4: Simplify right side
    310.62x = 95,546.32
  5. Step 5: Solve for x
    x = 95,546.32/310.62
  6. Step 6: Final answer
    x = 307.60

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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.