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Finding the Fourth Proportional to 117.82, 177.73 and 109.18

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Solution

The fourth proportional to 117.82, 177.73 and 109.18 is: 164.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.82 : 177.73 = 109.18 : x
  2. Step 2: Convert to fraction form
    117.82/177.73 = 109.18/x
  3. Step 3: Cross multiply
    117.82x = 177.73 × 109.18
  4. Step 4: Simplify right side
    117.82x = 19,404.56
  5. Step 5: Solve for x
    x = 19,404.56/117.82
  6. Step 6: Final answer
    x = 164.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.