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Finding the Fourth Proportional to 401.26, 600.30 and 319.26

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Solution

The fourth proportional to 401.26, 600.30 and 319.26 is: 477.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.26 : 600.30 = 319.26 : x
  2. Step 2: Convert to fraction form
    401.26/600.30 = 319.26/x
  3. Step 3: Cross multiply
    401.26x = 600.30 × 319.26
  4. Step 4: Simplify right side
    401.26x = 191,651.78
  5. Step 5: Solve for x
    x = 191,651.78/401.26
  6. Step 6: Final answer
    x = 477.62

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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.