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Finding the Fourth Proportional to 274.24, 410.80 and 120

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Solution

The fourth proportional to 274.24, 410.80 and 120 is: 179.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.24 : 410.80 = 120 : x
  2. Step 2: Convert to fraction form
    274.24/410.80 = 120/x
  3. Step 3: Cross multiply
    274.24x = 410.80 × 120
  4. Step 4: Simplify right side
    274.24x = 49,296
  5. Step 5: Solve for x
    x = 49,296/274.24
  6. Step 6: Final answer
    x = 179.75

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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.