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Finding the Fourth Proportional to 379.37, 568.85 and 186.99

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Solution

The fourth proportional to 379.37, 568.85 and 186.99 is: 280.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.37 : 568.85 = 186.99 : x
  2. Step 2: Convert to fraction form
    379.37/568.85 = 186.99/x
  3. Step 3: Cross multiply
    379.37x = 568.85 × 186.99
  4. Step 4: Simplify right side
    379.37x = 106,368.33
  5. Step 5: Solve for x
    x = 106,368.33/379.37
  6. Step 6: Final answer
    x = 280.39

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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.