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Finding the Fourth Proportional to 419.21, 578.49 and 232.70

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Solution

The fourth proportional to 419.21, 578.49 and 232.70 is: 321.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.21 : 578.49 = 232.70 : x
  2. Step 2: Convert to fraction form
    419.21/578.49 = 232.70/x
  3. Step 3: Cross multiply
    419.21x = 578.49 × 232.70
  4. Step 4: Simplify right side
    419.21x = 134,610.86
  5. Step 5: Solve for x
    x = 134,610.86/419.21
  6. Step 6: Final answer
    x = 321.10

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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.