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Finding the Fourth Proportional to 183.97, 276.95 and 158.86

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Solution

The fourth proportional to 183.97, 276.95 and 158.86 is: 239.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.97 : 276.95 = 158.86 : x
  2. Step 2: Convert to fraction form
    183.97/276.95 = 158.86/x
  3. Step 3: Cross multiply
    183.97x = 276.95 × 158.86
  4. Step 4: Simplify right side
    183.97x = 43,997.02
  5. Step 5: Solve for x
    x = 43,997.02/183.97
  6. Step 6: Final answer
    x = 239.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.