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Finding the Fourth Proportional to 385.96, 578.46 and 193.64

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Solution

The fourth proportional to 385.96, 578.46 and 193.64 is: 290.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.96 : 578.46 = 193.64 : x
  2. Step 2: Convert to fraction form
    385.96/578.46 = 193.64/x
  3. Step 3: Cross multiply
    385.96x = 578.46 × 193.64
  4. Step 4: Simplify right side
    385.96x = 112,012.99
  5. Step 5: Solve for x
    x = 112,012.99/385.96
  6. Step 6: Final answer
    x = 290.22

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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.