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Finding the Fourth Proportional to 336.39, 462.75 and 323.07

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Solution

The fourth proportional to 336.39, 462.75 and 323.07 is: 444.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.39 : 462.75 = 323.07 : x
  2. Step 2: Convert to fraction form
    336.39/462.75 = 323.07/x
  3. Step 3: Cross multiply
    336.39x = 462.75 × 323.07
  4. Step 4: Simplify right side
    336.39x = 149,500.64
  5. Step 5: Solve for x
    x = 149,500.64/336.39
  6. Step 6: Final answer
    x = 444.43

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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.