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Finding the Fourth Proportional to 118.93, 178.25 and 50.38

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Solution

The fourth proportional to 118.93, 178.25 and 50.38 is: 75.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.93 : 178.25 = 50.38 : x
  2. Step 2: Convert to fraction form
    118.93/178.25 = 50.38/x
  3. Step 3: Cross multiply
    118.93x = 178.25 × 50.38
  4. Step 4: Simplify right side
    118.93x = 8,979.22
  5. Step 5: Solve for x
    x = 8,979.22/118.93
  6. Step 6: Final answer
    x = 75.50

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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.