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Finding the Fourth Proportional to 344.57, 475.50 and 189.32

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Solution

The fourth proportional to 344.57, 475.50 and 189.32 is: 261.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.57 : 475.50 = 189.32 : x
  2. Step 2: Convert to fraction form
    344.57/475.50 = 189.32/x
  3. Step 3: Cross multiply
    344.57x = 475.50 × 189.32
  4. Step 4: Simplify right side
    344.57x = 90,021.66
  5. Step 5: Solve for x
    x = 90,021.66/344.57
  6. Step 6: Final answer
    x = 261.26

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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.