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Finding the Fourth Proportional to 275.00, 412.22 and 120.96

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Solution

The fourth proportional to 275.00, 412.22 and 120.96 is: 181.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.00 : 412.22 = 120.96 : x
  2. Step 2: Convert to fraction form
    275.00/412.22 = 120.96/x
  3. Step 3: Cross multiply
    275.00x = 412.22 × 120.96
  4. Step 4: Simplify right side
    275.00x = 49,862.43
  5. Step 5: Solve for x
    x = 49,862.43/275.00
  6. Step 6: Final answer
    x = 181.32

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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.