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Finding the Fourth Proportional to 199.53, 274.05 and 177.66

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Solution

The fourth proportional to 199.53, 274.05 and 177.66 is: 244.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.53 : 274.05 = 177.66 : x
  2. Step 2: Convert to fraction form
    199.53/274.05 = 177.66/x
  3. Step 3: Cross multiply
    199.53x = 274.05 × 177.66
  4. Step 4: Simplify right side
    199.53x = 48,687.72
  5. Step 5: Solve for x
    x = 48,687.72/199.53
  6. Step 6: Final answer
    x = 244.01

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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.