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Finding the Fourth Proportional to 117.81, 175.22 and 115.52

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Solution

The fourth proportional to 117.81, 175.22 and 115.52 is: 171.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.81 : 175.22 = 115.52 : x
  2. Step 2: Convert to fraction form
    117.81/175.22 = 115.52/x
  3. Step 3: Cross multiply
    117.81x = 175.22 × 115.52
  4. Step 4: Simplify right side
    117.81x = 20,239.96
  5. Step 5: Solve for x
    x = 20,239.96/117.81
  6. Step 6: Final answer
    x = 171.80

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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.