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Finding the Fourth Proportional to 356.22, 490.92 and 257.81

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Solution

The fourth proportional to 356.22, 490.92 and 257.81 is: 355.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.22 : 490.92 = 257.81 : x
  2. Step 2: Convert to fraction form
    356.22/490.92 = 257.81/x
  3. Step 3: Cross multiply
    356.22x = 490.92 × 257.81
  4. Step 4: Simplify right side
    356.22x = 126,561.63
  5. Step 5: Solve for x
    x = 126,561.63/356.22
  6. Step 6: Final answer
    x = 355.29

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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.