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Finding the Fourth Proportional to 298.52, 411.22 and 254.11

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Solution

The fourth proportional to 298.52, 411.22 and 254.11 is: 350.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.52 : 411.22 = 254.11 : x
  2. Step 2: Convert to fraction form
    298.52/411.22 = 254.11/x
  3. Step 3: Cross multiply
    298.52x = 411.22 × 254.11
  4. Step 4: Simplify right side
    298.52x = 104,495.60
  5. Step 5: Solve for x
    x = 104,495.60/298.52
  6. Step 6: Final answer
    x = 350.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.