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Finding the Fourth Proportional to 117.69, 176.31 and 76.92

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Solution

The fourth proportional to 117.69, 176.31 and 76.92 is: 115.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.69 : 176.31 = 76.92 : x
  2. Step 2: Convert to fraction form
    117.69/176.31 = 76.92/x
  3. Step 3: Cross multiply
    117.69x = 176.31 × 76.92
  4. Step 4: Simplify right side
    117.69x = 13,561.77
  5. Step 5: Solve for x
    x = 13,561.77/117.69
  6. Step 6: Final answer
    x = 115.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.