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Finding the Fourth Proportional to 389.83, 584.61 and 142.97

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Solution

The fourth proportional to 389.83, 584.61 and 142.97 is: 214.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.83 : 584.61 = 142.97 : x
  2. Step 2: Convert to fraction form
    389.83/584.61 = 142.97/x
  3. Step 3: Cross multiply
    389.83x = 584.61 × 142.97
  4. Step 4: Simplify right side
    389.83x = 83,580.98
  5. Step 5: Solve for x
    x = 83,580.98/389.83
  6. Step 6: Final answer
    x = 214.41

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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.