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Finding the Fourth Proportional to 419.22, 578.20 and 286.52

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Solution

The fourth proportional to 419.22, 578.20 and 286.52 is: 395.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.22 : 578.20 = 286.52 : x
  2. Step 2: Convert to fraction form
    419.22/578.20 = 286.52/x
  3. Step 3: Cross multiply
    419.22x = 578.20 × 286.52
  4. Step 4: Simplify right side
    419.22x = 165,664.43
  5. Step 5: Solve for x
    x = 165,664.43/419.22
  6. Step 6: Final answer
    x = 395.17

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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.