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Finding the Fourth Proportional to 259.14, 387.72 and 170.97

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Solution

The fourth proportional to 259.14, 387.72 and 170.97 is: 255.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.14 : 387.72 = 170.97 : x
  2. Step 2: Convert to fraction form
    259.14/387.72 = 170.97/x
  3. Step 3: Cross multiply
    259.14x = 387.72 × 170.97
  4. Step 4: Simplify right side
    259.14x = 66,288.49
  5. Step 5: Solve for x
    x = 66,288.49/259.14
  6. Step 6: Final answer
    x = 255.80

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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.