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Finding the Fourth Proportional to 290.98, 401.68 and 192.87

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Solution

The fourth proportional to 290.98, 401.68 and 192.87 is: 266.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.98 : 401.68 = 192.87 : x
  2. Step 2: Convert to fraction form
    290.98/401.68 = 192.87/x
  3. Step 3: Cross multiply
    290.98x = 401.68 × 192.87
  4. Step 4: Simplify right side
    290.98x = 77,471.18
  5. Step 5: Solve for x
    x = 77,471.18/290.98
  6. Step 6: Final answer
    x = 266.24

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