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Finding the Fourth Proportional to 118.94, 178.25 and 73.31

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Solution

The fourth proportional to 118.94, 178.25 and 73.31 is: 109.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.94 : 178.25 = 73.31 : x
  2. Step 2: Convert to fraction form
    118.94/178.25 = 73.31/x
  3. Step 3: Cross multiply
    118.94x = 178.25 × 73.31
  4. Step 4: Simplify right side
    118.94x = 13,066.25
  5. Step 5: Solve for x
    x = 13,066.25/118.94
  6. Step 6: Final answer
    x = 109.86

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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.