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Finding the Fourth Proportional to 419.22, 578.40 and 286.44

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Solution

The fourth proportional to 419.22, 578.40 and 286.44 is: 395.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.22 : 578.40 = 286.44 : x
  2. Step 2: Convert to fraction form
    419.22/578.40 = 286.44/x
  3. Step 3: Cross multiply
    419.22x = 578.40 × 286.44
  4. Step 4: Simplify right side
    419.22x = 165,676.90
  5. Step 5: Solve for x
    x = 165,676.90/419.22
  6. Step 6: Final answer
    x = 395.20

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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.