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Finding the Fourth Proportional to 274.12, 377.97 and 229.93

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Solution

The fourth proportional to 274.12, 377.97 and 229.93 is: 317.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.12 : 377.97 = 229.93 : x
  2. Step 2: Convert to fraction form
    274.12/377.97 = 229.93/x
  3. Step 3: Cross multiply
    274.12x = 377.97 × 229.93
  4. Step 4: Simplify right side
    274.12x = 86,906.64
  5. Step 5: Solve for x
    x = 86,906.64/274.12
  6. Step 6: Final answer
    x = 317.04

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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.