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Finding the Fourth Proportional to 419.87, 630.21 and 311.33

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Solution

The fourth proportional to 419.87, 630.21 and 311.33 is: 467.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.87 : 630.21 = 311.33 : x
  2. Step 2: Convert to fraction form
    419.87/630.21 = 311.33/x
  3. Step 3: Cross multiply
    419.87x = 630.21 × 311.33
  4. Step 4: Simplify right side
    419.87x = 196,200.13
  5. Step 5: Solve for x
    x = 196,200.13/419.87
  6. Step 6: Final answer
    x = 467.29

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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.