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Finding the Fourth Proportional to 257.33, 355.34 and 202.32

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Solution

The fourth proportional to 257.33, 355.34 and 202.32 is: 279.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.33 : 355.34 = 202.32 : x
  2. Step 2: Convert to fraction form
    257.33/355.34 = 202.32/x
  3. Step 3: Cross multiply
    257.33x = 355.34 × 202.32
  4. Step 4: Simplify right side
    257.33x = 71,891.38
  5. Step 5: Solve for x
    x = 71,891.38/257.33
  6. Step 6: Final answer
    x = 279.38

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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.