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Finding the Fourth Proportional to 382.45, 569.72 and 364.83

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Solution

The fourth proportional to 382.45, 569.72 and 364.83 is: 543.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.45 : 569.72 = 364.83 : x
  2. Step 2: Convert to fraction form
    382.45/569.72 = 364.83/x
  3. Step 3: Cross multiply
    382.45x = 569.72 × 364.83
  4. Step 4: Simplify right side
    382.45x = 207,851.86
  5. Step 5: Solve for x
    x = 207,851.86/382.45
  6. Step 6: Final answer
    x = 543.48

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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.