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Finding the Fourth Proportional to 344.72, 475.74 and 189.48

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Solution

The fourth proportional to 344.72, 475.74 and 189.48 is: 261.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.72 : 475.74 = 189.48 : x
  2. Step 2: Convert to fraction form
    344.72/475.74 = 189.48/x
  3. Step 3: Cross multiply
    344.72x = 475.74 × 189.48
  4. Step 4: Simplify right side
    344.72x = 90,143.22
  5. Step 5: Solve for x
    x = 90,143.22/344.72
  6. Step 6: Final answer
    x = 261.50

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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.