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Finding the Fourth Proportional to 203.95, 281.44 and 121.06

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Solution

The fourth proportional to 203.95, 281.44 and 121.06 is: 167.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.95 : 281.44 = 121.06 : x
  2. Step 2: Convert to fraction form
    203.95/281.44 = 121.06/x
  3. Step 3: Cross multiply
    203.95x = 281.44 × 121.06
  4. Step 4: Simplify right side
    203.95x = 34,070.12
  5. Step 5: Solve for x
    x = 34,070.12/203.95
  6. Step 6: Final answer
    x = 167.05

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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.