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Finding the Fourth Proportional to 310.24, 427.86 and 199.86

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Solution

The fourth proportional to 310.24, 427.86 and 199.86 is: 275.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.24 : 427.86 = 199.86 : x
  2. Step 2: Convert to fraction form
    310.24/427.86 = 199.86/x
  3. Step 3: Cross multiply
    310.24x = 427.86 × 199.86
  4. Step 4: Simplify right side
    310.24x = 85,512.10
  5. Step 5: Solve for x
    x = 85,512.10/310.24
  6. Step 6: Final answer
    x = 275.63

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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.