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Finding the Fourth Proportional to 247.80, 369.78 and 223.20

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Solution

The fourth proportional to 247.80, 369.78 and 223.20 is: 333.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.80 : 369.78 = 223.20 : x
  2. Step 2: Convert to fraction form
    247.80/369.78 = 223.20/x
  3. Step 3: Cross multiply
    247.80x = 369.78 × 223.20
  4. Step 4: Simplify right side
    247.80x = 82,534.90
  5. Step 5: Solve for x
    x = 82,534.90/247.80
  6. Step 6: Final answer
    x = 333.07

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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.