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Finding the Fourth Proportional to 379.84, 569.82 and 206.56

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Solution

The fourth proportional to 379.84, 569.82 and 206.56 is: 309.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.84 : 569.82 = 206.56 : x
  2. Step 2: Convert to fraction form
    379.84/569.82 = 206.56/x
  3. Step 3: Cross multiply
    379.84x = 569.82 × 206.56
  4. Step 4: Simplify right side
    379.84x = 117,702.02
  5. Step 5: Solve for x
    x = 117,702.02/379.84
  6. Step 6: Final answer
    x = 309.87

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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.