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Finding the Fourth Proportional to 336.76, 464.75 and 189.43

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Solution

The fourth proportional to 336.76, 464.75 and 189.43 is: 261.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.76 : 464.75 = 189.43 : x
  2. Step 2: Convert to fraction form
    336.76/464.75 = 189.43/x
  3. Step 3: Cross multiply
    336.76x = 464.75 × 189.43
  4. Step 4: Simplify right side
    336.76x = 88,037.94
  5. Step 5: Solve for x
    x = 88,037.94/336.76
  6. Step 6: Final answer
    x = 261.43

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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.