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Finding the Fourth Proportional to 419.90, 579.38 and 254.08

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Solution

The fourth proportional to 419.90, 579.38 and 254.08 is: 350.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.90 : 579.38 = 254.08 : x
  2. Step 2: Convert to fraction form
    419.90/579.38 = 254.08/x
  3. Step 3: Cross multiply
    419.90x = 579.38 × 254.08
  4. Step 4: Simplify right side
    419.90x = 147,207.60
  5. Step 5: Solve for x
    x = 147,207.60/419.90
  6. Step 6: Final answer
    x = 350.58

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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.