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Finding the Fourth Proportional to 199.16, 274.85 and 154.94

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Solution

The fourth proportional to 199.16, 274.85 and 154.94 is: 213.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.16 : 274.85 = 154.94 : x
  2. Step 2: Convert to fraction form
    199.16/274.85 = 154.94/x
  3. Step 3: Cross multiply
    199.16x = 274.85 × 154.94
  4. Step 4: Simplify right side
    199.16x = 42,583.11
  5. Step 5: Solve for x
    x = 42,583.11/199.16
  6. Step 6: Final answer
    x = 213.82

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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.