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Finding the Fourth Proportional to 310.17, 427.83 and 199.62

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Solution

The fourth proportional to 310.17, 427.83 and 199.62 is: 275.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.17 : 427.83 = 199.62 : x
  2. Step 2: Convert to fraction form
    310.17/427.83 = 199.62/x
  3. Step 3: Cross multiply
    310.17x = 427.83 × 199.62
  4. Step 4: Simplify right side
    310.17x = 85,404.10
  5. Step 5: Solve for x
    x = 85,404.10/310.17
  6. Step 6: Final answer
    x = 275.35

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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.