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Finding the Fourth Proportional to 257.06, 354.61 and 168.54

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Solution

The fourth proportional to 257.06, 354.61 and 168.54 is: 232.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.06 : 354.61 = 168.54 : x
  2. Step 2: Convert to fraction form
    257.06/354.61 = 168.54/x
  3. Step 3: Cross multiply
    257.06x = 354.61 × 168.54
  4. Step 4: Simplify right side
    257.06x = 59,765.97
  5. Step 5: Solve for x
    x = 59,765.97/257.06
  6. Step 6: Final answer
    x = 232.50

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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.