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Finding the Fourth Proportional to 161.96, 243.32 and 114.16

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Solution

The fourth proportional to 161.96, 243.32 and 114.16 is: 171.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.96 : 243.32 = 114.16 : x
  2. Step 2: Convert to fraction form
    161.96/243.32 = 114.16/x
  3. Step 3: Cross multiply
    161.96x = 243.32 × 114.16
  4. Step 4: Simplify right side
    161.96x = 27,777.41
  5. Step 5: Solve for x
    x = 27,777.41/161.96
  6. Step 6: Final answer
    x = 171.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.