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Finding the Fourth Proportional to 336.68, 462.11 and 322.60

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Solution

The fourth proportional to 336.68, 462.11 and 322.60 is: 442.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.68 : 462.11 = 322.60 : x
  2. Step 2: Convert to fraction form
    336.68/462.11 = 322.60/x
  3. Step 3: Cross multiply
    336.68x = 462.11 × 322.60
  4. Step 4: Simplify right side
    336.68x = 149,076.69
  5. Step 5: Solve for x
    x = 149,076.69/336.68
  6. Step 6: Final answer
    x = 442.78

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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.