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Finding the Fourth Proportional to 257.57, 355.15 and 202.29

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Solution

The fourth proportional to 257.57, 355.15 and 202.29 is: 278.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.57 : 355.15 = 202.29 : x
  2. Step 2: Convert to fraction form
    257.57/355.15 = 202.29/x
  3. Step 3: Cross multiply
    257.57x = 355.15 × 202.29
  4. Step 4: Simplify right side
    257.57x = 71,843.29
  5. Step 5: Solve for x
    x = 71,843.29/257.57
  6. Step 6: Final answer
    x = 278.93

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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.