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Finding the Fourth Proportional to 403.81, 604.89 and 266.92

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Solution

The fourth proportional to 403.81, 604.89 and 266.92 is: 399.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.81 : 604.89 = 266.92 : x
  2. Step 2: Convert to fraction form
    403.81/604.89 = 266.92/x
  3. Step 3: Cross multiply
    403.81x = 604.89 × 266.92
  4. Step 4: Simplify right side
    403.81x = 161,457.24
  5. Step 5: Solve for x
    x = 161,457.24/403.81
  6. Step 6: Final answer
    x = 399.83

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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.