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Finding the Fourth Proportional to 365.97, 505.31 and 324.57

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Solution

The fourth proportional to 365.97, 505.31 and 324.57 is: 448.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.97 : 505.31 = 324.57 : x
  2. Step 2: Convert to fraction form
    365.97/505.31 = 324.57/x
  3. Step 3: Cross multiply
    365.97x = 505.31 × 324.57
  4. Step 4: Simplify right side
    365.97x = 164,006.84
  5. Step 5: Solve for x
    x = 164,006.84/365.97
  6. Step 6: Final answer
    x = 448.14

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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.