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Finding the Fourth Proportional to 282.69, 389.99 and 199.86

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Solution

The fourth proportional to 282.69, 389.99 and 199.86 is: 275.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.69 : 389.99 = 199.86 : x
  2. Step 2: Convert to fraction form
    282.69/389.99 = 199.86/x
  3. Step 3: Cross multiply
    282.69x = 389.99 × 199.86
  4. Step 4: Simplify right side
    282.69x = 77,943.86
  5. Step 5: Solve for x
    x = 77,943.86/282.69
  6. Step 6: Final answer
    x = 275.73

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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.