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Finding the Fourth Proportional to 193.04, 288.26 and 187.92

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Solution

The fourth proportional to 193.04, 288.26 and 187.92 is: 280.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.04 : 288.26 = 187.92 : x
  2. Step 2: Convert to fraction form
    193.04/288.26 = 187.92/x
  3. Step 3: Cross multiply
    193.04x = 288.26 × 187.92
  4. Step 4: Simplify right side
    193.04x = 54,169.82
  5. Step 5: Solve for x
    x = 54,169.82/193.04
  6. Step 6: Final answer
    x = 280.61

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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.