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Finding the Fourth Proportional to 385.99, 578.71 and 180.44

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Solution

The fourth proportional to 385.99, 578.71 and 180.44 is: 270.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.99 : 578.71 = 180.44 : x
  2. Step 2: Convert to fraction form
    385.99/578.71 = 180.44/x
  3. Step 3: Cross multiply
    385.99x = 578.71 × 180.44
  4. Step 4: Simplify right side
    385.99x = 104,423.43
  5. Step 5: Solve for x
    x = 104,423.43/385.99
  6. Step 6: Final answer
    x = 270.54

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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.