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Finding the Fourth Proportional to 296.11, 406.03 and 285.81

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Solution

The fourth proportional to 296.11, 406.03 and 285.81 is: 391.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.11 : 406.03 = 285.81 : x
  2. Step 2: Convert to fraction form
    296.11/406.03 = 285.81/x
  3. Step 3: Cross multiply
    296.11x = 406.03 × 285.81
  4. Step 4: Simplify right side
    296.11x = 116,048.15
  5. Step 5: Solve for x
    x = 116,048.15/296.11
  6. Step 6: Final answer
    x = 391.91

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.