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Finding the Fourth Proportional to 288.11, 397.75 and 190.02

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Solution

The fourth proportional to 288.11, 397.75 and 190.02 is: 262.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.11 : 397.75 = 190.02 : x
  2. Step 2: Convert to fraction form
    288.11/397.75 = 190.02/x
  3. Step 3: Cross multiply
    288.11x = 397.75 × 190.02
  4. Step 4: Simplify right side
    288.11x = 75,580.46
  5. Step 5: Solve for x
    x = 75,580.46/288.11
  6. Step 6: Final answer
    x = 262.33

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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.