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Finding the Fourth Proportional to 247.74, 369.66 and 218.58

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Solution

The fourth proportional to 247.74, 369.66 and 218.58 is: 326.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.74 : 369.66 = 218.58 : x
  2. Step 2: Convert to fraction form
    247.74/369.66 = 218.58/x
  3. Step 3: Cross multiply
    247.74x = 369.66 × 218.58
  4. Step 4: Simplify right side
    247.74x = 80,800.28
  5. Step 5: Solve for x
    x = 80,800.28/247.74
  6. Step 6: Final answer
    x = 326.15

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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.