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Finding the Fourth Proportional to 118.03, 161.77 and 117.83

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Solution

The fourth proportional to 118.03, 161.77 and 117.83 is: 161.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.03 : 161.77 = 117.83 : x
  2. Step 2: Convert to fraction form
    118.03/161.77 = 117.83/x
  3. Step 3: Cross multiply
    118.03x = 161.77 × 117.83
  4. Step 4: Simplify right side
    118.03x = 19,061.57
  5. Step 5: Solve for x
    x = 19,061.57/118.03
  6. Step 6: Final answer
    x = 161.49

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.