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Finding the Fourth Proportional to 257.80, 356.03 and 239.38

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Solution

The fourth proportional to 257.80, 356.03 and 239.38 is: 330.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.80 : 356.03 = 239.38 : x
  2. Step 2: Convert to fraction form
    257.80/356.03 = 239.38/x
  3. Step 3: Cross multiply
    257.80x = 356.03 × 239.38
  4. Step 4: Simplify right side
    257.80x = 85,226.46
  5. Step 5: Solve for x
    x = 85,226.46/257.80
  6. Step 6: Final answer
    x = 330.59

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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.