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Finding the Fourth Proportional to 199.97, 276.02 and 156.23

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Solution

The fourth proportional to 199.97, 276.02 and 156.23 is: 215.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.97 : 276.02 = 156.23 : x
  2. Step 2: Convert to fraction form
    199.97/276.02 = 156.23/x
  3. Step 3: Cross multiply
    199.97x = 276.02 × 156.23
  4. Step 4: Simplify right side
    199.97x = 43,122.94
  5. Step 5: Solve for x
    x = 43,122.94/199.97
  6. Step 6: Final answer
    x = 215.65

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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.