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Finding the Fourth Proportional to 199.59, 272.88 and 192.03

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Solution

The fourth proportional to 199.59, 272.88 and 192.03 is: 262.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.59 : 272.88 = 192.03 : x
  2. Step 2: Convert to fraction form
    199.59/272.88 = 192.03/x
  3. Step 3: Cross multiply
    199.59x = 272.88 × 192.03
  4. Step 4: Simplify right side
    199.59x = 52,401.15
  5. Step 5: Solve for x
    x = 52,401.15/199.59
  6. Step 6: Final answer
    x = 262.54

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.