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Finding the Fourth Proportional to 344.71, 475.79 and 204.87

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Solution

The fourth proportional to 344.71, 475.79 and 204.87 is: 282.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.71 : 475.79 = 204.87 : x
  2. Step 2: Convert to fraction form
    344.71/475.79 = 204.87/x
  3. Step 3: Cross multiply
    344.71x = 475.79 × 204.87
  4. Step 4: Simplify right side
    344.71x = 97,472.29
  5. Step 5: Solve for x
    x = 97,472.29/344.71
  6. Step 6: Final answer
    x = 282.77

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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.