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Finding the Fourth Proportional to 403.05, 603.93 and 311.97

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Solution

The fourth proportional to 403.05, 603.93 and 311.97 is: 467.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.05 : 603.93 = 311.97 : x
  2. Step 2: Convert to fraction form
    403.05/603.93 = 311.97/x
  3. Step 3: Cross multiply
    403.05x = 603.93 × 311.97
  4. Step 4: Simplify right side
    403.05x = 188,408.04
  5. Step 5: Solve for x
    x = 188,408.04/403.05
  6. Step 6: Final answer
    x = 467.46

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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.