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Finding the Fourth Proportional to 310.68, 428.70 and 200.18

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Solution

The fourth proportional to 310.68, 428.70 and 200.18 is: 276.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.68 : 428.70 = 200.18 : x
  2. Step 2: Convert to fraction form
    310.68/428.70 = 200.18/x
  3. Step 3: Cross multiply
    310.68x = 428.70 × 200.18
  4. Step 4: Simplify right side
    310.68x = 85,817.17
  5. Step 5: Solve for x
    x = 85,817.17/310.68
  6. Step 6: Final answer
    x = 276.22

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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.