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Finding the Fourth Proportional to 270.92, 403.46 and 254.04

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Solution

The fourth proportional to 270.92, 403.46 and 254.04 is: 378.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.92 : 403.46 = 254.04 : x
  2. Step 2: Convert to fraction form
    270.92/403.46 = 254.04/x
  3. Step 3: Cross multiply
    270.92x = 403.46 × 254.04
  4. Step 4: Simplify right side
    270.92x = 102,493.71
  5. Step 5: Solve for x
    x = 102,493.71/270.92
  6. Step 6: Final answer
    x = 378.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.