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Finding the Fourth Proportional to 419.28, 578.57 and 232.73

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Solution

The fourth proportional to 419.28, 578.57 and 232.73 is: 321.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.28 : 578.57 = 232.73 : x
  2. Step 2: Convert to fraction form
    419.28/578.57 = 232.73/x
  3. Step 3: Cross multiply
    419.28x = 578.57 × 232.73
  4. Step 4: Simplify right side
    419.28x = 134,646.54
  5. Step 5: Solve for x
    x = 134,646.54/419.28
  6. Step 6: Final answer
    x = 321.14

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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.