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Finding the Fourth Proportional to 419.22, 576.96 and 325.56

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Solution

The fourth proportional to 419.22, 576.96 and 325.56 is: 448.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.22 : 576.96 = 325.56 : x
  2. Step 2: Convert to fraction form
    419.22/576.96 = 325.56/x
  3. Step 3: Cross multiply
    419.22x = 576.96 × 325.56
  4. Step 4: Simplify right side
    419.22x = 187,835.10
  5. Step 5: Solve for x
    x = 187,835.10/419.22
  6. Step 6: Final answer
    x = 448.06

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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.