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Finding the Fourth Proportional to 164.80, 248.70 and 159.44

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Solution

The fourth proportional to 164.80, 248.70 and 159.44 is: 240.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.80 : 248.70 = 159.44 : x
  2. Step 2: Convert to fraction form
    164.80/248.70 = 159.44/x
  3. Step 3: Cross multiply
    164.80x = 248.70 × 159.44
  4. Step 4: Simplify right side
    164.80x = 39,652.73
  5. Step 5: Solve for x
    x = 39,652.73/164.80
  6. Step 6: Final answer
    x = 240.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.