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Finding the Fourth Proportional to 225.74, 339.00 and 139.59

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Solution

The fourth proportional to 225.74, 339.00 and 139.59 is: 209.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.74 : 339.00 = 139.59 : x
  2. Step 2: Convert to fraction form
    225.74/339.00 = 139.59/x
  3. Step 3: Cross multiply
    225.74x = 339.00 × 139.59
  4. Step 4: Simplify right side
    225.74x = 47,318.97
  5. Step 5: Solve for x
    x = 47,318.97/225.74
  6. Step 6: Final answer
    x = 209.62

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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.