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Finding the Fourth Proportional to 257.91, 355.55 and 211.06

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Solution

The fourth proportional to 257.91, 355.55 and 211.06 is: 290.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.91 : 355.55 = 211.06 : x
  2. Step 2: Convert to fraction form
    257.91/355.55 = 211.06/x
  3. Step 3: Cross multiply
    257.91x = 355.55 × 211.06
  4. Step 4: Simplify right side
    257.91x = 75,042.38
  5. Step 5: Solve for x
    x = 75,042.38/257.91
  6. Step 6: Final answer
    x = 290.96

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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.