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Finding the Fourth Proportional to 275.08, 412.21 and 254.83

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Solution

The fourth proportional to 275.08, 412.21 and 254.83 is: 381.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.08 : 412.21 = 254.83 : x
  2. Step 2: Convert to fraction form
    275.08/412.21 = 254.83/x
  3. Step 3: Cross multiply
    275.08x = 412.21 × 254.83
  4. Step 4: Simplify right side
    275.08x = 105,043.47
  5. Step 5: Solve for x
    x = 105,043.47/275.08
  6. Step 6: Final answer
    x = 381.87

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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.