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Finding the Fourth Proportional to 199.25, 296.92 and 192.72

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Solution

The fourth proportional to 199.25, 296.92 and 192.72 is: 287.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.25 : 296.92 = 192.72 : x
  2. Step 2: Convert to fraction form
    199.25/296.92 = 192.72/x
  3. Step 3: Cross multiply
    199.25x = 296.92 × 192.72
  4. Step 4: Simplify right side
    199.25x = 57,222.42
  5. Step 5: Solve for x
    x = 57,222.42/199.25
  6. Step 6: Final answer
    x = 287.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.