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Finding the Fourth Proportional to 257.90, 356.02 and 164.66

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Solution

The fourth proportional to 257.90, 356.02 and 164.66 is: 227.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.90 : 356.02 = 164.66 : x
  2. Step 2: Convert to fraction form
    257.90/356.02 = 164.66/x
  3. Step 3: Cross multiply
    257.90x = 356.02 × 164.66
  4. Step 4: Simplify right side
    257.90x = 58,622.25
  5. Step 5: Solve for x
    x = 58,622.25/257.90
  6. Step 6: Final answer
    x = 227.31

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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.