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Finding the Fourth Proportional to 239.40, 359.10 and 129.69

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Solution

The fourth proportional to 239.40, 359.10 and 129.69 is: 194.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.40 : 359.10 = 129.69 : x
  2. Step 2: Convert to fraction form
    239.40/359.10 = 129.69/x
  3. Step 3: Cross multiply
    239.40x = 359.10 × 129.69
  4. Step 4: Simplify right side
    239.40x = 46,571.68
  5. Step 5: Solve for x
    x = 46,571.68/239.40
  6. Step 6: Final answer
    x = 194.54

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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.