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Finding the Fourth Proportional to 389.50, 584.25 and 100.94

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Solution

The fourth proportional to 389.50, 584.25 and 100.94 is: 151.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.50 : 584.25 = 100.94 : x
  2. Step 2: Convert to fraction form
    389.50/584.25 = 100.94/x
  3. Step 3: Cross multiply
    389.50x = 584.25 × 100.94
  4. Step 4: Simplify right side
    389.50x = 58,974.20
  5. Step 5: Solve for x
    x = 58,974.20/389.50
  6. Step 6: Final answer
    x = 151.41

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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.