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Finding the Fourth Proportional to 193.72, 288.91 and 187.80

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Solution

The fourth proportional to 193.72, 288.91 and 187.80 is: 280.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.72 : 288.91 = 187.80 : x
  2. Step 2: Convert to fraction form
    193.72/288.91 = 187.80/x
  3. Step 3: Cross multiply
    193.72x = 288.91 × 187.80
  4. Step 4: Simplify right side
    193.72x = 54,257.30
  5. Step 5: Solve for x
    x = 54,257.30/193.72
  6. Step 6: Final answer
    x = 280.08

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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.