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Finding the Fourth Proportional to 203.94, 281.51 and 182.07

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Solution

The fourth proportional to 203.94, 281.51 and 182.07 is: 251.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.94 : 281.51 = 182.07 : x
  2. Step 2: Convert to fraction form
    203.94/281.51 = 182.07/x
  3. Step 3: Cross multiply
    203.94x = 281.51 × 182.07
  4. Step 4: Simplify right side
    203.94x = 51,254.53
  5. Step 5: Solve for x
    x = 51,254.53/203.94
  6. Step 6: Final answer
    x = 251.32

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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.