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Finding the Fourth Proportional to 274.97, 412.14 and 120.72

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Solution

The fourth proportional to 274.97, 412.14 and 120.72 is: 180.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.97 : 412.14 = 120.72 : x
  2. Step 2: Convert to fraction form
    274.97/412.14 = 120.72/x
  3. Step 3: Cross multiply
    274.97x = 412.14 × 120.72
  4. Step 4: Simplify right side
    274.97x = 49,751.38
  5. Step 5: Solve for x
    x = 49,751.38/274.97
  6. Step 6: Final answer
    x = 180.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.