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Finding the Fourth Proportional to 339.67, 509.37 and 120.25

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Solution

The fourth proportional to 339.67, 509.37 and 120.25 is: 180.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.67 : 509.37 = 120.25 : x
  2. Step 2: Convert to fraction form
    339.67/509.37 = 120.25/x
  3. Step 3: Cross multiply
    339.67x = 509.37 × 120.25
  4. Step 4: Simplify right side
    339.67x = 61,251.74
  5. Step 5: Solve for x
    x = 61,251.74/339.67
  6. Step 6: Final answer
    x = 180.33

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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.