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Finding the Fourth Proportional to 379.86, 524.21 and 205.20

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Solution

The fourth proportional to 379.86, 524.21 and 205.20 is: 283.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.86 : 524.21 = 205.20 : x
  2. Step 2: Convert to fraction form
    379.86/524.21 = 205.20/x
  3. Step 3: Cross multiply
    379.86x = 524.21 × 205.20
  4. Step 4: Simplify right side
    379.86x = 107,568.76
  5. Step 5: Solve for x
    x = 107,568.76/379.86
  6. Step 6: Final answer
    x = 283.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.