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Finding the Fourth Proportional to 339.26, 509.03 and 163.47

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Solution

The fourth proportional to 339.26, 509.03 and 163.47 is: 245.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.26 : 509.03 = 163.47 : x
  2. Step 2: Convert to fraction form
    339.26/509.03 = 163.47/x
  3. Step 3: Cross multiply
    339.26x = 509.03 × 163.47
  4. Step 4: Simplify right side
    339.26x = 83,211.13
  5. Step 5: Solve for x
    x = 83,211.13/339.26
  6. Step 6: Final answer
    x = 245.27

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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.