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Finding the Fourth Proportional to 247.19, 369.33 and 193.12

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Solution

The fourth proportional to 247.19, 369.33 and 193.12 is: 288.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.19 : 369.33 = 193.12 : x
  2. Step 2: Convert to fraction form
    247.19/369.33 = 193.12/x
  3. Step 3: Cross multiply
    247.19x = 369.33 × 193.12
  4. Step 4: Simplify right side
    247.19x = 71,323.36
  5. Step 5: Solve for x
    x = 71,323.36/247.19
  6. Step 6: Final answer
    x = 288.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.