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Finding the Fourth Proportional to 193.99, 288.67 and 187.38

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Solution

The fourth proportional to 193.99, 288.67 and 187.38 is: 278.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.99 : 288.67 = 187.38 : x
  2. Step 2: Convert to fraction form
    193.99/288.67 = 187.38/x
  3. Step 3: Cross multiply
    193.99x = 288.67 × 187.38
  4. Step 4: Simplify right side
    193.99x = 54,090.98
  5. Step 5: Solve for x
    x = 54,090.98/193.99
  6. Step 6: Final answer
    x = 278.83

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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.