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Finding the Fourth Proportional to 247.96, 342.20 and 199.20

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Solution

The fourth proportional to 247.96, 342.20 and 199.20 is: 274.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.96 : 342.20 = 199.20 : x
  2. Step 2: Convert to fraction form
    247.96/342.20 = 199.20/x
  3. Step 3: Cross multiply
    247.96x = 342.20 × 199.20
  4. Step 4: Simplify right side
    247.96x = 68,166.24
  5. Step 5: Solve for x
    x = 68,166.24/247.96
  6. Step 6: Final answer
    x = 274.91

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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.