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Finding the Fourth Proportional to 282.40, 389.73 and 184.42

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Solution

The fourth proportional to 282.40, 389.73 and 184.42 is: 254.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.40 : 389.73 = 184.42 : x
  2. Step 2: Convert to fraction form
    282.40/389.73 = 184.42/x
  3. Step 3: Cross multiply
    282.40x = 389.73 × 184.42
  4. Step 4: Simplify right side
    282.40x = 71,874.01
  5. Step 5: Solve for x
    x = 71,874.01/282.40
  6. Step 6: Final answer
    x = 254.51

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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.