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Finding the Fourth Proportional to 274.93, 412.37 and 120.84

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Solution

The fourth proportional to 274.93, 412.37 and 120.84 is: 181.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.93 : 412.37 = 120.84 : x
  2. Step 2: Convert to fraction form
    274.93/412.37 = 120.84/x
  3. Step 3: Cross multiply
    274.93x = 412.37 × 120.84
  4. Step 4: Simplify right side
    274.93x = 49,828.73
  5. Step 5: Solve for x
    x = 49,828.73/274.93
  6. Step 6: Final answer
    x = 181.24

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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.