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Finding the Fourth Proportional to 257.31, 355.50 and 195.39

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Solution

The fourth proportional to 257.31, 355.50 and 195.39 is: 269.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.31 : 355.50 = 195.39 : x
  2. Step 2: Convert to fraction form
    257.31/355.50 = 195.39/x
  3. Step 3: Cross multiply
    257.31x = 355.50 × 195.39
  4. Step 4: Simplify right side
    257.31x = 69,461.15
  5. Step 5: Solve for x
    x = 69,461.15/257.31
  6. Step 6: Final answer
    x = 269.95

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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.