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Finding the Fourth Proportional to 338.23, 465.71 and 324.39

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Solution

The fourth proportional to 338.23, 465.71 and 324.39 is: 446.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.23 : 465.71 = 324.39 : x
  2. Step 2: Convert to fraction form
    338.23/465.71 = 324.39/x
  3. Step 3: Cross multiply
    338.23x = 465.71 × 324.39
  4. Step 4: Simplify right side
    338.23x = 151,071.67
  5. Step 5: Solve for x
    x = 151,071.67/338.23
  6. Step 6: Final answer
    x = 446.65

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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.