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Finding the Fourth Proportional to 339.35, 509.02 and 131.18

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Solution

The fourth proportional to 339.35, 509.02 and 131.18 is: 196.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.35 : 509.02 = 131.18 : x
  2. Step 2: Convert to fraction form
    339.35/509.02 = 131.18/x
  3. Step 3: Cross multiply
    339.35x = 509.02 × 131.18
  4. Step 4: Simplify right side
    339.35x = 66,770.37
  5. Step 5: Solve for x
    x = 66,770.37/339.35
  6. Step 6: Final answer
    x = 196.76

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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.