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Finding the Fourth Proportional to 379.53, 569.51 and 163.09

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Solution

The fourth proportional to 379.53, 569.51 and 163.09 is: 244.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.53 : 569.51 = 163.09 : x
  2. Step 2: Convert to fraction form
    379.53/569.51 = 163.09/x
  3. Step 3: Cross multiply
    379.53x = 569.51 × 163.09
  4. Step 4: Simplify right side
    379.53x = 92,881.39
  5. Step 5: Solve for x
    x = 92,881.39/379.53
  6. Step 6: Final answer
    x = 244.73

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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.