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Finding the Fourth Proportional to 259.27, 357.88 and 171.97

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Solution

The fourth proportional to 259.27, 357.88 and 171.97 is: 237.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.27 : 357.88 = 171.97 : x
  2. Step 2: Convert to fraction form
    259.27/357.88 = 171.97/x
  3. Step 3: Cross multiply
    259.27x = 357.88 × 171.97
  4. Step 4: Simplify right side
    259.27x = 61,542.40
  5. Step 5: Solve for x
    x = 61,542.40/259.27
  6. Step 6: Final answer
    x = 237.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.