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Finding the Fourth Proportional to 117.93, 175.87 and 115.21

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Solution

The fourth proportional to 117.93, 175.87 and 115.21 is: 171.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.93 : 175.87 = 115.21 : x
  2. Step 2: Convert to fraction form
    117.93/175.87 = 115.21/x
  3. Step 3: Cross multiply
    117.93x = 175.87 × 115.21
  4. Step 4: Simplify right side
    117.93x = 20,261.98
  5. Step 5: Solve for x
    x = 20,261.98/117.93
  6. Step 6: Final answer
    x = 171.81

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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.