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Finding the Fourth Proportional to 247.78, 369.77 and 244.14

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Solution

The fourth proportional to 247.78, 369.77 and 244.14 is: 364.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.78 : 369.77 = 244.14 : x
  2. Step 2: Convert to fraction form
    247.78/369.77 = 244.14/x
  3. Step 3: Cross multiply
    247.78x = 369.77 × 244.14
  4. Step 4: Simplify right side
    247.78x = 90,275.65
  5. Step 5: Solve for x
    x = 90,275.65/247.78
  6. Step 6: Final answer
    x = 364.34

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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.