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Finding the Fourth Proportional to 117.88, 177.56 and 110.68

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Solution

The fourth proportional to 117.88, 177.56 and 110.68 is: 166.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.88 : 177.56 = 110.68 : x
  2. Step 2: Convert to fraction form
    117.88/177.56 = 110.68/x
  3. Step 3: Cross multiply
    117.88x = 177.56 × 110.68
  4. Step 4: Simplify right side
    117.88x = 19,652.34
  5. Step 5: Solve for x
    x = 19,652.34/117.88
  6. Step 6: Final answer
    x = 166.71

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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.