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Finding the Fourth Proportional to 248.11, 342.42 and 160.83

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Solution

The fourth proportional to 248.11, 342.42 and 160.83 is: 221.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.11 : 342.42 = 160.83 : x
  2. Step 2: Convert to fraction form
    248.11/342.42 = 160.83/x
  3. Step 3: Cross multiply
    248.11x = 342.42 × 160.83
  4. Step 4: Simplify right side
    248.11x = 55,071.41
  5. Step 5: Solve for x
    x = 55,071.41/248.11
  6. Step 6: Final answer
    x = 221.96

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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.