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Finding the Fourth Proportional to 247.75, 369.76 and 216.94

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Solution

The fourth proportional to 247.75, 369.76 and 216.94 is: 323.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.75 : 369.76 = 216.94 : x
  2. Step 2: Convert to fraction form
    247.75/369.76 = 216.94/x
  3. Step 3: Cross multiply
    247.75x = 369.76 × 216.94
  4. Step 4: Simplify right side
    247.75x = 80,214.65
  5. Step 5: Solve for x
    x = 80,214.65/247.75
  6. Step 6: Final answer
    x = 323.77

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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.