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Finding the Fourth Proportional to 247.49, 369.94 and 216.51

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Solution

The fourth proportional to 247.49, 369.94 and 216.51 is: 323.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.49 : 369.94 = 216.51 : x
  2. Step 2: Convert to fraction form
    247.49/369.94 = 216.51/x
  3. Step 3: Cross multiply
    247.49x = 369.94 × 216.51
  4. Step 4: Simplify right side
    247.49x = 80,095.71
  5. Step 5: Solve for x
    x = 80,095.71/247.49
  6. Step 6: Final answer
    x = 323.63

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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.