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Finding the Fourth Proportional to 310.52, 428.74 and 200.06

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Solution

The fourth proportional to 310.52, 428.74 and 200.06 is: 276.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.52 : 428.74 = 200.06 : x
  2. Step 2: Convert to fraction form
    310.52/428.74 = 200.06/x
  3. Step 3: Cross multiply
    310.52x = 428.74 × 200.06
  4. Step 4: Simplify right side
    310.52x = 85,771.58
  5. Step 5: Solve for x
    x = 85,771.58/310.52
  6. Step 6: Final answer
    x = 276.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.