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Finding the Fourth Proportional to 385.88, 578.46 and 142.22

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Solution

The fourth proportional to 385.88, 578.46 and 142.22 is: 213.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.88 : 578.46 = 142.22 : x
  2. Step 2: Convert to fraction form
    385.88/578.46 = 142.22/x
  3. Step 3: Cross multiply
    385.88x = 578.46 × 142.22
  4. Step 4: Simplify right side
    385.88x = 82,268.58
  5. Step 5: Solve for x
    x = 82,268.58/385.88
  6. Step 6: Final answer
    x = 213.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.