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Finding the Fourth Proportional to 257.94, 356.42 and 195.66

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Solution

The fourth proportional to 257.94, 356.42 and 195.66 is: 270.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.94 : 356.42 = 195.66 : x
  2. Step 2: Convert to fraction form
    257.94/356.42 = 195.66/x
  3. Step 3: Cross multiply
    257.94x = 356.42 × 195.66
  4. Step 4: Simplify right side
    257.94x = 69,737.14
  5. Step 5: Solve for x
    x = 69,737.14/257.94
  6. Step 6: Final answer
    x = 270.36

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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.