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Finding the Fourth Proportional to 339.62, 509.42 and 271.96

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Solution

The fourth proportional to 339.62, 509.42 and 271.96 is: 407.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.62 : 509.42 = 271.96 : x
  2. Step 2: Convert to fraction form
    339.62/509.42 = 271.96/x
  3. Step 3: Cross multiply
    339.62x = 509.42 × 271.96
  4. Step 4: Simplify right side
    339.62x = 138,542.70
  5. Step 5: Solve for x
    x = 138,542.70/339.62
  6. Step 6: Final answer
    x = 407.93

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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.