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Finding the Fourth Proportional to 247.96, 342.33 and 192.68

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Solution

The fourth proportional to 247.96, 342.33 and 192.68 is: 266.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.96 : 342.33 = 192.68 : x
  2. Step 2: Convert to fraction form
    247.96/342.33 = 192.68/x
  3. Step 3: Cross multiply
    247.96x = 342.33 × 192.68
  4. Step 4: Simplify right side
    247.96x = 65,958.99
  5. Step 5: Solve for x
    x = 65,958.99/247.96
  6. Step 6: Final answer
    x = 266.01

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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.