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Finding the Fourth Proportional to 379.86, 569.70 and 102.21

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Solution

The fourth proportional to 379.86, 569.70 and 102.21 is: 153.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.86 : 569.70 = 102.21 : x
  2. Step 2: Convert to fraction form
    379.86/569.70 = 102.21/x
  3. Step 3: Cross multiply
    379.86x = 569.70 × 102.21
  4. Step 4: Simplify right side
    379.86x = 58,229.04
  5. Step 5: Solve for x
    x = 58,229.04/379.86
  6. Step 6: Final answer
    x = 153.29

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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.