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Finding the Fourth Proportional to 247.32, 368.78 and 218.54

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Solution

The fourth proportional to 247.32, 368.78 and 218.54 is: 325.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.32 : 368.78 = 218.54 : x
  2. Step 2: Convert to fraction form
    247.32/368.78 = 218.54/x
  3. Step 3: Cross multiply
    247.32x = 368.78 × 218.54
  4. Step 4: Simplify right side
    247.32x = 80,593.18
  5. Step 5: Solve for x
    x = 80,593.18/247.32
  6. Step 6: Final answer
    x = 325.87

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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.