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Finding the Fourth Proportional to 401.96, 604.14 and 382.76

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Solution

The fourth proportional to 401.96, 604.14 and 382.76 is: 575.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.96 : 604.14 = 382.76 : x
  2. Step 2: Convert to fraction form
    401.96/604.14 = 382.76/x
  3. Step 3: Cross multiply
    401.96x = 604.14 × 382.76
  4. Step 4: Simplify right side
    401.96x = 231,240.63
  5. Step 5: Solve for x
    x = 231,240.63/401.96
  6. Step 6: Final answer
    x = 575.28

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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.