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Finding the Fourth Proportional to 403.61, 605.41 and 271.54

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Solution

The fourth proportional to 403.61, 605.41 and 271.54 is: 407.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.61 : 605.41 = 271.54 : x
  2. Step 2: Convert to fraction form
    403.61/605.41 = 271.54/x
  3. Step 3: Cross multiply
    403.61x = 605.41 × 271.54
  4. Step 4: Simplify right side
    403.61x = 164,388.65
  5. Step 5: Solve for x
    x = 164,388.65/403.61
  6. Step 6: Final answer
    x = 407.30

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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.