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Finding the Fourth Proportional to 160.79, 241.18 and 83.81

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Solution

The fourth proportional to 160.79, 241.18 and 83.81 is: 125.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.79 : 241.18 = 83.81 : x
  2. Step 2: Convert to fraction form
    160.79/241.18 = 83.81/x
  3. Step 3: Cross multiply
    160.79x = 241.18 × 83.81
  4. Step 4: Simplify right side
    160.79x = 20,213.69
  5. Step 5: Solve for x
    x = 20,213.69/160.79
  6. Step 6: Final answer
    x = 125.72

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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.