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Finding the Fourth Proportional to 199.42, 274.64 and 160.81

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Solution

The fourth proportional to 199.42, 274.64 and 160.81 is: 221.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.42 : 274.64 = 160.81 : x
  2. Step 2: Convert to fraction form
    199.42/274.64 = 160.81/x
  3. Step 3: Cross multiply
    199.42x = 274.64 × 160.81
  4. Step 4: Simplify right side
    199.42x = 44,164.86
  5. Step 5: Solve for x
    x = 44,164.86/199.42
  6. Step 6: Final answer
    x = 221.47

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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.