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Finding the Fourth Proportional to 310.13, 427.74 and 199.62

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Solution

The fourth proportional to 310.13, 427.74 and 199.62 is: 275.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.13 : 427.74 = 199.62 : x
  2. Step 2: Convert to fraction form
    310.13/427.74 = 199.62/x
  3. Step 3: Cross multiply
    310.13x = 427.74 × 199.62
  4. Step 4: Simplify right side
    310.13x = 85,385.46
  5. Step 5: Solve for x
    x = 85,385.46/310.13
  6. Step 6: Final answer
    x = 275.32

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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.