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Finding the Fourth Proportional to 379.77, 568.80 and 184.47

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Solution

The fourth proportional to 379.77, 568.80 and 184.47 is: 276.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.77 : 568.80 = 184.47 : x
  2. Step 2: Convert to fraction form
    379.77/568.80 = 184.47/x
  3. Step 3: Cross multiply
    379.77x = 568.80 × 184.47
  4. Step 4: Simplify right side
    379.77x = 104,926.54
  5. Step 5: Solve for x
    x = 104,926.54/379.77
  6. Step 6: Final answer
    x = 276.29

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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.