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Finding the Fourth Proportional to 399.73, 599.56 and 139.71

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Solution

The fourth proportional to 399.73, 599.56 and 139.71 is: 209.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.73 : 599.56 = 139.71 : x
  2. Step 2: Convert to fraction form
    399.73/599.56 = 139.71/x
  3. Step 3: Cross multiply
    399.73x = 599.56 × 139.71
  4. Step 4: Simplify right side
    399.73x = 83,760.83
  5. Step 5: Solve for x
    x = 83,760.83/399.73
  6. Step 6: Final answer
    x = 209.54

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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.