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Finding the Fourth Proportional to 403.18, 605.14 and 381.81

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Solution

The fourth proportional to 403.18, 605.14 and 381.81 is: 573.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.18 : 605.14 = 381.81 : x
  2. Step 2: Convert to fraction form
    403.18/605.14 = 381.81/x
  3. Step 3: Cross multiply
    403.18x = 605.14 × 381.81
  4. Step 4: Simplify right side
    403.18x = 231,049.82
  5. Step 5: Solve for x
    x = 231,049.82/403.18
  6. Step 6: Final answer
    x = 573.07

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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.