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Finding the Fourth Proportional to 203.93, 281.45 and 121.04

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Solution

The fourth proportional to 203.93, 281.45 and 121.04 is: 167.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.93 : 281.45 = 121.04 : x
  2. Step 2: Convert to fraction form
    203.93/281.45 = 121.04/x
  3. Step 3: Cross multiply
    203.93x = 281.45 × 121.04
  4. Step 4: Simplify right side
    203.93x = 34,066.10
  5. Step 5: Solve for x
    x = 34,066.10/203.93
  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.