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Finding the Fourth Proportional to 281.13, 388.16 and 182.94

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Solution

The fourth proportional to 281.13, 388.16 and 182.94 is: 252.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.13 : 388.16 = 182.94 : x
  2. Step 2: Convert to fraction form
    281.13/388.16 = 182.94/x
  3. Step 3: Cross multiply
    281.13x = 388.16 × 182.94
  4. Step 4: Simplify right side
    281.13x = 71,009.08
  5. Step 5: Solve for x
    x = 71,009.08/281.13
  6. Step 6: Final answer
    x = 252.58

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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.