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Finding the Fourth Proportional to 310.59, 464.22 and 200.43

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Solution

The fourth proportional to 310.59, 464.22 and 200.43 is: 299.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.59 : 464.22 = 200.43 : x
  2. Step 2: Convert to fraction form
    310.59/464.22 = 200.43/x
  3. Step 3: Cross multiply
    310.59x = 464.22 × 200.43
  4. Step 4: Simplify right side
    310.59x = 93,043.61
  5. Step 5: Solve for x
    x = 93,043.61/310.59
  6. Step 6: Final answer
    x = 299.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.