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Finding the Fourth Proportional to 356.22, 491.06 and 250.97

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Solution

The fourth proportional to 356.22, 491.06 and 250.97 is: 345.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.22 : 491.06 = 250.97 : x
  2. Step 2: Convert to fraction form
    356.22/491.06 = 250.97/x
  3. Step 3: Cross multiply
    356.22x = 491.06 × 250.97
  4. Step 4: Simplify right side
    356.22x = 123,241.33
  5. Step 5: Solve for x
    x = 123,241.33/356.22
  6. Step 6: Final answer
    x = 345.97

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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.