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Finding the Fourth Proportional to 117.67, 177.37 and 105.93

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Solution

The fourth proportional to 117.67, 177.37 and 105.93 is: 159.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.67 : 177.37 = 105.93 : x
  2. Step 2: Convert to fraction form
    117.67/177.37 = 105.93/x
  3. Step 3: Cross multiply
    117.67x = 177.37 × 105.93
  4. Step 4: Simplify right side
    117.67x = 18,788.80
  5. Step 5: Solve for x
    x = 18,788.80/117.67
  6. Step 6: Final answer
    x = 159.67

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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.