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Finding the Fourth Proportional to 199.44, 297.20 and 192.91

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Solution

The fourth proportional to 199.44, 297.20 and 192.91 is: 287.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.44 : 297.20 = 192.91 : x
  2. Step 2: Convert to fraction form
    199.44/297.20 = 192.91/x
  3. Step 3: Cross multiply
    199.44x = 297.20 × 192.91
  4. Step 4: Simplify right side
    199.44x = 57,331.89
  5. Step 5: Solve for x
    x = 57,331.89/199.44
  6. Step 6: Final answer
    x = 287.47

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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.