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Finding the Fourth Proportional to 382.28, 569.39 and 364.50

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Solution

The fourth proportional to 382.28, 569.39 and 364.50 is: 542.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.28 : 569.39 = 364.50 : x
  2. Step 2: Convert to fraction form
    382.28/569.39 = 364.50/x
  3. Step 3: Cross multiply
    382.28x = 569.39 × 364.50
  4. Step 4: Simplify right side
    382.28x = 207,540.83
  5. Step 5: Solve for x
    x = 207,540.83/382.28
  6. Step 6: Final answer
    x = 542.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.