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Finding the Fourth Proportional to 310.42, 428.46 and 200.19

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Solution

The fourth proportional to 310.42, 428.46 and 200.19 is: 276.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.42 : 428.46 = 200.19 : x
  2. Step 2: Convert to fraction form
    310.42/428.46 = 200.19/x
  3. Step 3: Cross multiply
    310.42x = 428.46 × 200.19
  4. Step 4: Simplify right side
    310.42x = 85,773.41
  5. Step 5: Solve for x
    x = 85,773.41/310.42
  6. Step 6: Final answer
    x = 276.32

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1.5x scale

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.