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Finding the Fourth Proportional to 419.76, 579.28 and 233.26

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Solution

The fourth proportional to 419.76, 579.28 and 233.26 is: 321.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.76 : 579.28 = 233.26 : x
  2. Step 2: Convert to fraction form
    419.76/579.28 = 233.26/x
  3. Step 3: Cross multiply
    419.76x = 579.28 × 233.26
  4. Step 4: Simplify right side
    419.76x = 135,122.85
  5. Step 5: Solve for x
    x = 135,122.85/419.76
  6. Step 6: Final answer
    x = 321.91

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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.