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Finding the Fourth Proportional to 401.75, 554.42 and 217.75

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Solution

The fourth proportional to 401.75, 554.42 and 217.75 is: 300.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.75 : 554.42 = 217.75 : x
  2. Step 2: Convert to fraction form
    401.75/554.42 = 217.75/x
  3. Step 3: Cross multiply
    401.75x = 554.42 × 217.75
  4. Step 4: Simplify right side
    401.75x = 120,724.96
  5. Step 5: Solve for x
    x = 120,724.96/401.75
  6. Step 6: Final answer
    x = 300.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.