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Finding the Fourth Proportional to 339.72, 509.60 and 96.27

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Solution

The fourth proportional to 339.72, 509.60 and 96.27 is: 144.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.72 : 509.60 = 96.27 : x
  2. Step 2: Convert to fraction form
    339.72/509.60 = 96.27/x
  3. Step 3: Cross multiply
    339.72x = 509.60 × 96.27
  4. Step 4: Simplify right side
    339.72x = 49,059.19
  5. Step 5: Solve for x
    x = 49,059.19/339.72
  6. Step 6: Final answer
    x = 144.41

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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.