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Finding the Fourth Proportional to 419.96, 579.46 and 254.18

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Solution

The fourth proportional to 419.96, 579.46 and 254.18 is: 350.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.96 : 579.46 = 254.18 : x
  2. Step 2: Convert to fraction form
    419.96/579.46 = 254.18/x
  3. Step 3: Cross multiply
    419.96x = 579.46 × 254.18
  4. Step 4: Simplify right side
    419.96x = 147,288.43
  5. Step 5: Solve for x
    x = 147,288.43/419.96
  6. Step 6: Final answer
    x = 350.72

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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.