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Finding the Fourth Proportional to 403.08, 604.17 and 311.51

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Solution

The fourth proportional to 403.08, 604.17 and 311.51 is: 466.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.08 : 604.17 = 311.51 : x
  2. Step 2: Convert to fraction form
    403.08/604.17 = 311.51/x
  3. Step 3: Cross multiply
    403.08x = 604.17 × 311.51
  4. Step 4: Simplify right side
    403.08x = 188,201.98
  5. Step 5: Solve for x
    x = 188,201.98/403.08
  6. Step 6: Final answer
    x = 466.91

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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.