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Finding the Fourth Proportional to 367.45, 504.40 and 325.09

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Solution

The fourth proportional to 367.45, 504.40 and 325.09 is: 446.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.45 : 504.40 = 325.09 : x
  2. Step 2: Convert to fraction form
    367.45/504.40 = 325.09/x
  3. Step 3: Cross multiply
    367.45x = 504.40 × 325.09
  4. Step 4: Simplify right side
    367.45x = 163,975.40
  5. Step 5: Solve for x
    x = 163,975.40/367.45
  6. Step 6: Final answer
    x = 446.25

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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.