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Finding the Fourth Proportional to 336.41, 464.19 and 203.59

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Solution

The fourth proportional to 336.41, 464.19 and 203.59 is: 280.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.41 : 464.19 = 203.59 : x
  2. Step 2: Convert to fraction form
    336.41/464.19 = 203.59/x
  3. Step 3: Cross multiply
    336.41x = 464.19 × 203.59
  4. Step 4: Simplify right side
    336.41x = 94,504.26
  5. Step 5: Solve for x
    x = 94,504.26/336.41
  6. Step 6: Final answer
    x = 280.92

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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.