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Finding the Fourth Proportional to 193.20, 287.87 and 181.04

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Solution

The fourth proportional to 193.20, 287.87 and 181.04 is: 269.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.20 : 287.87 = 181.04 : x
  2. Step 2: Convert to fraction form
    193.20/287.87 = 181.04/x
  3. Step 3: Cross multiply
    193.20x = 287.87 × 181.04
  4. Step 4: Simplify right side
    193.20x = 52,115.98
  5. Step 5: Solve for x
    x = 52,115.98/193.20
  6. Step 6: Final answer
    x = 269.75

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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.