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Finding the Fourth Proportional to 419.22, 579.60 and 349.24

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Solution

The fourth proportional to 419.22, 579.60 and 349.24 is: 482.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.22 : 579.60 = 349.24 : x
  2. Step 2: Convert to fraction form
    419.22/579.60 = 349.24/x
  3. Step 3: Cross multiply
    419.22x = 579.60 × 349.24
  4. Step 4: Simplify right side
    419.22x = 202,419.50
  5. Step 5: Solve for x
    x = 202,419.50/419.22
  6. Step 6: Final answer
    x = 482.85

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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.