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Finding the Fourth Proportional to 257.88, 355.96 and 154.38

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Solution

The fourth proportional to 257.88, 355.96 and 154.38 is: 213.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.88 : 355.96 = 154.38 : x
  2. Step 2: Convert to fraction form
    257.88/355.96 = 154.38/x
  3. Step 3: Cross multiply
    257.88x = 355.96 × 154.38
  4. Step 4: Simplify right side
    257.88x = 54,950.94
  5. Step 5: Solve for x
    x = 54,950.94/257.88
  6. Step 6: Final answer
    x = 213.09

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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.