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Finding the Fourth Proportional to 257.87, 356.01 and 170.80

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Solution

The fourth proportional to 257.87, 356.01 and 170.80 is: 235.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.87 : 356.01 = 170.80 : x
  2. Step 2: Convert to fraction form
    257.87/356.01 = 170.80/x
  3. Step 3: Cross multiply
    257.87x = 356.01 × 170.80
  4. Step 4: Simplify right side
    257.87x = 60,804.73
  5. Step 5: Solve for x
    x = 60,804.73/257.87
  6. Step 6: Final answer
    x = 235.80

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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.