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Finding the Fourth Proportional to 336.42, 460.89 and 324.12

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Solution

The fourth proportional to 336.42, 460.89 and 324.12 is: 444.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.42 : 460.89 = 324.12 : x
  2. Step 2: Convert to fraction form
    336.42/460.89 = 324.12/x
  3. Step 3: Cross multiply
    336.42x = 460.89 × 324.12
  4. Step 4: Simplify right side
    336.42x = 149,383.67
  5. Step 5: Solve for x
    x = 149,383.67/336.42
  6. Step 6: Final answer
    x = 444.04

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.