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Finding the Fourth Proportional to 117.94, 177.68 and 107.92

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Solution

The fourth proportional to 117.94, 177.68 and 107.92 is: 162.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.94 : 177.68 = 107.92 : x
  2. Step 2: Convert to fraction form
    117.94/177.68 = 107.92/x
  3. Step 3: Cross multiply
    117.94x = 177.68 × 107.92
  4. Step 4: Simplify right side
    117.94x = 19,175.23
  5. Step 5: Solve for x
    x = 19,175.23/117.94
  6. Step 6: Final answer
    x = 162.58

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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.