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Finding the Fourth Proportional to 395.98, 594.09 and 165.31

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Solution

The fourth proportional to 395.98, 594.09 and 165.31 is: 248.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.98 : 594.09 = 165.31 : x
  2. Step 2: Convert to fraction form
    395.98/594.09 = 165.31/x
  3. Step 3: Cross multiply
    395.98x = 594.09 × 165.31
  4. Step 4: Simplify right side
    395.98x = 98,209.02
  5. Step 5: Solve for x
    x = 98,209.02/395.98
  6. Step 6: Final answer
    x = 248.02

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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.