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Finding the Fourth Proportional to 116.42, 160.62 and 103.97

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Solution

The fourth proportional to 116.42, 160.62 and 103.97 is: 143.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.42 : 160.62 = 103.97 : x
  2. Step 2: Convert to fraction form
    116.42/160.62 = 103.97/x
  3. Step 3: Cross multiply
    116.42x = 160.62 × 103.97
  4. Step 4: Simplify right side
    116.42x = 16,698.86
  5. Step 5: Solve for x
    x = 16,698.86/116.42
  6. Step 6: Final answer
    x = 143.44

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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.