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Finding the Fourth Proportional to 403.21, 605.67 and 281.71

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Solution

The fourth proportional to 403.21, 605.67 and 281.71 is: 423.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.21 : 605.67 = 281.71 : x
  2. Step 2: Convert to fraction form
    403.21/605.67 = 281.71/x
  3. Step 3: Cross multiply
    403.21x = 605.67 × 281.71
  4. Step 4: Simplify right side
    403.21x = 170,623.30
  5. Step 5: Solve for x
    x = 170,623.30/403.21
  6. Step 6: Final answer
    x = 423.16

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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.