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Finding the Fourth Proportional to 401.17, 601.98 and 218.56

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Solution

The fourth proportional to 401.17, 601.98 and 218.56 is: 327.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.17 : 601.98 = 218.56 : x
  2. Step 2: Convert to fraction form
    401.17/601.98 = 218.56/x
  3. Step 3: Cross multiply
    401.17x = 601.98 × 218.56
  4. Step 4: Simplify right side
    401.17x = 131,568.75
  5. Step 5: Solve for x
    x = 131,568.75/401.17
  6. Step 6: Final answer
    x = 327.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.