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Finding the Fourth Proportional to 344.49, 475.38 and 204.70

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Solution

The fourth proportional to 344.49, 475.38 and 204.70 is: 282.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.49 : 475.38 = 204.70 : x
  2. Step 2: Convert to fraction form
    344.49/475.38 = 204.70/x
  3. Step 3: Cross multiply
    344.49x = 475.38 × 204.70
  4. Step 4: Simplify right side
    344.49x = 97,309.10
  5. Step 5: Solve for x
    x = 97,309.10/344.49
  6. Step 6: Final answer
    x = 282.47

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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.