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Finding the Fourth Proportional to 290.97, 401.49 and 192.87

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Solution

The fourth proportional to 290.97, 401.49 and 192.87 is: 266.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.97 : 401.49 = 192.87 : x
  2. Step 2: Convert to fraction form
    290.97/401.49 = 192.87/x
  3. Step 3: Cross multiply
    290.97x = 401.49 × 192.87
  4. Step 4: Simplify right side
    290.97x = 77,435.38
  5. Step 5: Solve for x
    x = 77,435.38/290.97
  6. Step 6: Final answer
    x = 266.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.