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Finding the Fourth Proportional to 339.58, 509.37 and 96.09

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Solution

The fourth proportional to 339.58, 509.37 and 96.09 is: 144.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.58 : 509.37 = 96.09 : x
  2. Step 2: Convert to fraction form
    339.58/509.37 = 96.09/x
  3. Step 3: Cross multiply
    339.58x = 509.37 × 96.09
  4. Step 4: Simplify right side
    339.58x = 48,945.36
  5. Step 5: Solve for x
    x = 48,945.36/339.58
  6. Step 6: Final answer
    x = 144.14

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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.