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Finding the Fourth Proportional to 336.98, 464.99 and 189.60

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Solution

The fourth proportional to 336.98, 464.99 and 189.60 is: 261.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.98 : 464.99 = 189.60 : x
  2. Step 2: Convert to fraction form
    336.98/464.99 = 189.60/x
  3. Step 3: Cross multiply
    336.98x = 464.99 × 189.60
  4. Step 4: Simplify right side
    336.98x = 88,161.16
  5. Step 5: Solve for x
    x = 88,161.16/336.98
  6. Step 6: Final answer
    x = 261.63

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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.