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Finding the Fourth Proportional to 339.75, 509.42 and 134.35

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Solution

The fourth proportional to 339.75, 509.42 and 134.35 is: 201.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.75 : 509.42 = 134.35 : x
  2. Step 2: Convert to fraction form
    339.75/509.42 = 134.35/x
  3. Step 3: Cross multiply
    339.75x = 509.42 × 134.35
  4. Step 4: Simplify right side
    339.75x = 68,439.64
  5. Step 5: Solve for x
    x = 68,439.64/339.75
  6. Step 6: Final answer
    x = 201.44

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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.