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Finding the Fourth Proportional to 367.80, 504.86 and 325.43

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Solution

The fourth proportional to 367.80, 504.86 and 325.43 is: 446.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.80 : 504.86 = 325.43 : x
  2. Step 2: Convert to fraction form
    367.80/504.86 = 325.43/x
  3. Step 3: Cross multiply
    367.80x = 504.86 × 325.43
  4. Step 4: Simplify right side
    367.80x = 164,296.59
  5. Step 5: Solve for x
    x = 164,296.59/367.80
  6. Step 6: Final answer
    x = 446.70

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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.