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Finding the Fourth Proportional to 336.59, 463.82 and 286.64

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Solution

The fourth proportional to 336.59, 463.82 and 286.64 is: 394.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.59 : 463.82 = 286.64 : x
  2. Step 2: Convert to fraction form
    336.59/463.82 = 286.64/x
  3. Step 3: Cross multiply
    336.59x = 463.82 × 286.64
  4. Step 4: Simplify right side
    336.59x = 132,949.36
  5. Step 5: Solve for x
    x = 132,949.36/336.59
  6. Step 6: Final answer
    x = 394.99

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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.