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Finding the Fourth Proportional to 199.22, 274.95 and 125.51

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Solution

The fourth proportional to 199.22, 274.95 and 125.51 is: 173.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.22 : 274.95 = 125.51 : x
  2. Step 2: Convert to fraction form
    199.22/274.95 = 125.51/x
  3. Step 3: Cross multiply
    199.22x = 274.95 × 125.51
  4. Step 4: Simplify right side
    199.22x = 34,507.60
  5. Step 5: Solve for x
    x = 34,507.60/199.22
  6. Step 6: Final answer
    x = 173.22

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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.