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Finding the Fourth Proportional to 282.49, 389.91 and 184.27

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Solution

The fourth proportional to 282.49, 389.91 and 184.27 is: 254.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.49 : 389.91 = 184.27 : x
  2. Step 2: Convert to fraction form
    282.49/389.91 = 184.27/x
  3. Step 3: Cross multiply
    282.49x = 389.91 × 184.27
  4. Step 4: Simplify right side
    282.49x = 71,848.72
  5. Step 5: Solve for x
    x = 71,848.72/282.49
  6. Step 6: Final answer
    x = 254.34

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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.