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Finding the Fourth Proportional to 288.97, 433.25 and 142.54

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Solution

The fourth proportional to 288.97, 433.25 and 142.54 is: 213.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.97 : 433.25 = 142.54 : x
  2. Step 2: Convert to fraction form
    288.97/433.25 = 142.54/x
  3. Step 3: Cross multiply
    288.97x = 433.25 × 142.54
  4. Step 4: Simplify right side
    288.97x = 61,755.46
  5. Step 5: Solve for x
    x = 61,755.46/288.97
  6. Step 6: Final answer
    x = 213.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.