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Finding the Fourth Proportional to 199.48, 274.98 and 173.02

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Solution

The fourth proportional to 199.48, 274.98 and 173.02 is: 238.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.48 : 274.98 = 173.02 : x
  2. Step 2: Convert to fraction form
    199.48/274.98 = 173.02/x
  3. Step 3: Cross multiply
    199.48x = 274.98 × 173.02
  4. Step 4: Simplify right side
    199.48x = 47,577.04
  5. Step 5: Solve for x
    x = 47,577.04/199.48
  6. Step 6: Final answer
    x = 238.51

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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.