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Finding the Fourth Proportional to 192.71, 290.27 and 187.85

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Solution

The fourth proportional to 192.71, 290.27 and 187.85 is: 282.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.71 : 290.27 = 187.85 : x
  2. Step 2: Convert to fraction form
    192.71/290.27 = 187.85/x
  3. Step 3: Cross multiply
    192.71x = 290.27 × 187.85
  4. Step 4: Simplify right side
    192.71x = 54,527.22
  5. Step 5: Solve for x
    x = 54,527.22/192.71
  6. Step 6: Final answer
    x = 282.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.