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Finding the Fourth Proportional to 344.80, 475.77 and 204.92

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Solution

The fourth proportional to 344.80, 475.77 and 204.92 is: 282.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.80 : 475.77 = 204.92 : x
  2. Step 2: Convert to fraction form
    344.80/475.77 = 204.92/x
  3. Step 3: Cross multiply
    344.80x = 475.77 × 204.92
  4. Step 4: Simplify right side
    344.80x = 97,494.79
  5. Step 5: Solve for x
    x = 97,494.79/344.80
  6. Step 6: Final answer
    x = 282.76

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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.