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Finding the Fourth Proportional to 438.09, 604.60 and 324.65

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Solution

The fourth proportional to 438.09, 604.60 and 324.65 is: 448.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.09 : 604.60 = 324.65 : x
  2. Step 2: Convert to fraction form
    438.09/604.60 = 324.65/x
  3. Step 3: Cross multiply
    438.09x = 604.60 × 324.65
  4. Step 4: Simplify right side
    438.09x = 196,280.37
  5. Step 5: Solve for x
    x = 196,280.37/438.09
  6. Step 6: Final answer
    x = 448.04

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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.