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Finding the Fourth Proportional to 192.72, 287.42 and 186.80

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Solution

The fourth proportional to 192.72, 287.42 and 186.80 is: 278.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.72 : 287.42 = 186.80 : x
  2. Step 2: Convert to fraction form
    192.72/287.42 = 186.80/x
  3. Step 3: Cross multiply
    192.72x = 287.42 × 186.80
  4. Step 4: Simplify right side
    192.72x = 53,690.06
  5. Step 5: Solve for x
    x = 53,690.06/192.72
  6. Step 6: Final answer
    x = 278.59

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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.