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Finding the Fourth Proportional to 257.84, 355.94 and 195.68

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Solution

The fourth proportional to 257.84, 355.94 and 195.68 is: 270.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.84 : 355.94 = 195.68 : x
  2. Step 2: Convert to fraction form
    257.84/355.94 = 195.68/x
  3. Step 3: Cross multiply
    257.84x = 355.94 × 195.68
  4. Step 4: Simplify right side
    257.84x = 69,650.34
  5. Step 5: Solve for x
    x = 69,650.34/257.84
  6. Step 6: Final answer
    x = 270.13

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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.