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Finding the Fourth Proportional to 297.75, 411.04 and 224.10

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Solution

The fourth proportional to 297.75, 411.04 and 224.10 is: 309.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.75 : 411.04 = 224.10 : x
  2. Step 2: Convert to fraction form
    297.75/411.04 = 224.10/x
  3. Step 3: Cross multiply
    297.75x = 411.04 × 224.10
  4. Step 4: Simplify right side
    297.75x = 92,114.06
  5. Step 5: Solve for x
    x = 92,114.06/297.75
  6. Step 6: Final answer
    x = 309.37

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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.