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Finding the Fourth Proportional to 117.93, 175.53 and 116.79

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Solution

The fourth proportional to 117.93, 175.53 and 116.79 is: 173.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.93 : 175.53 = 116.79 : x
  2. Step 2: Convert to fraction form
    117.93/175.53 = 116.79/x
  3. Step 3: Cross multiply
    117.93x = 175.53 × 116.79
  4. Step 4: Simplify right side
    117.93x = 20,500.37
  5. Step 5: Solve for x
    x = 20,500.37/117.93
  6. Step 6: Final answer
    x = 173.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.