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Finding the Fourth Proportional to 275.20, 412.72 and 121.05

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Solution

The fourth proportional to 275.20, 412.72 and 121.05 is: 181.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.20 : 412.72 = 121.05 : x
  2. Step 2: Convert to fraction form
    275.20/412.72 = 121.05/x
  3. Step 3: Cross multiply
    275.20x = 412.72 × 121.05
  4. Step 4: Simplify right side
    275.20x = 49,959.76
  5. Step 5: Solve for x
    x = 49,959.76/275.20
  6. Step 6: Final answer
    x = 181.54

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