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Finding the Fourth Proportional to 401.24, 600.44 and 319.83

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Solution

The fourth proportional to 401.24, 600.44 and 319.83 is: 478.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.24 : 600.44 = 319.83 : x
  2. Step 2: Convert to fraction form
    401.24/600.44 = 319.83/x
  3. Step 3: Cross multiply
    401.24x = 600.44 × 319.83
  4. Step 4: Simplify right side
    401.24x = 192,037.13
  5. Step 5: Solve for x
    x = 192,037.13/401.24
  6. Step 6: Final answer
    x = 478.62

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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.