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Finding the Fourth Proportional to 344.74, 475.76 and 189.49

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Solution

The fourth proportional to 344.74, 475.76 and 189.49 is: 261.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.74 : 475.76 = 189.49 : x
  2. Step 2: Convert to fraction form
    344.74/475.76 = 189.49/x
  3. Step 3: Cross multiply
    344.74x = 475.76 × 189.49
  4. Step 4: Simplify right side
    344.74x = 90,151.76
  5. Step 5: Solve for x
    x = 90,151.76/344.74
  6. Step 6: Final answer
    x = 261.51

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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.