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Finding the Fourth Proportional to 419.80, 579.31 and 233.30

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Solution

The fourth proportional to 419.80, 579.31 and 233.30 is: 321.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.80 : 579.31 = 233.30 : x
  2. Step 2: Convert to fraction form
    419.80/579.31 = 233.30/x
  3. Step 3: Cross multiply
    419.80x = 579.31 × 233.30
  4. Step 4: Simplify right side
    419.80x = 135,151.86
  5. Step 5: Solve for x
    x = 135,151.86/419.80
  6. Step 6: Final answer
    x = 321.94

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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.