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Finding the Fourth Proportional to 252.58, 348.41 and 160.58

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Solution

The fourth proportional to 252.58, 348.41 and 160.58 is: 221.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.58 : 348.41 = 160.58 : x
  2. Step 2: Convert to fraction form
    252.58/348.41 = 160.58/x
  3. Step 3: Cross multiply
    252.58x = 348.41 × 160.58
  4. Step 4: Simplify right side
    252.58x = 55,947.68
  5. Step 5: Solve for x
    x = 55,947.68/252.58
  6. Step 6: Final answer
    x = 221.50

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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.