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Finding the Fourth Proportional to 344.10, 474.74 and 204.24

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Solution

The fourth proportional to 344.10, 474.74 and 204.24 is: 281.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.10 : 474.74 = 204.24 : x
  2. Step 2: Convert to fraction form
    344.10/474.74 = 204.24/x
  3. Step 3: Cross multiply
    344.10x = 474.74 × 204.24
  4. Step 4: Simplify right side
    344.10x = 96,960.90
  5. Step 5: Solve for x
    x = 96,960.90/344.10
  6. Step 6: Final answer
    x = 281.78

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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.