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Finding the Fourth Proportional to 379.94, 524.32 and 205.28

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Solution

The fourth proportional to 379.94, 524.32 and 205.28 is: 283.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.94 : 524.32 = 205.28 : x
  2. Step 2: Convert to fraction form
    379.94/524.32 = 205.28/x
  3. Step 3: Cross multiply
    379.94x = 524.32 × 205.28
  4. Step 4: Simplify right side
    379.94x = 107,632.69
  5. Step 5: Solve for x
    x = 107,632.69/379.94
  6. Step 6: Final answer
    x = 283.29

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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.