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Finding the Fourth Proportional to 282.27, 389.34 and 171.78

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Solution

The fourth proportional to 282.27, 389.34 and 171.78 is: 236.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.27 : 389.34 = 171.78 : x
  2. Step 2: Convert to fraction form
    282.27/389.34 = 171.78/x
  3. Step 3: Cross multiply
    282.27x = 389.34 × 171.78
  4. Step 4: Simplify right side
    282.27x = 66,880.83
  5. Step 5: Solve for x
    x = 66,880.83/282.27
  6. Step 6: Final answer
    x = 236.94

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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.