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Finding the Fourth Proportional to 403.81, 606.22 and 274.38

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Solution

The fourth proportional to 403.81, 606.22 and 274.38 is: 411.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.81 : 606.22 = 274.38 : x
  2. Step 2: Convert to fraction form
    403.81/606.22 = 274.38/x
  3. Step 3: Cross multiply
    403.81x = 606.22 × 274.38
  4. Step 4: Simplify right side
    403.81x = 166,333.96
  5. Step 5: Solve for x
    x = 166,333.96/403.81
  6. Step 6: Final answer
    x = 411.91

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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.