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Finding the Fourth Proportional to 203.33, 280.98 and 154.12

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Solution

The fourth proportional to 203.33, 280.98 and 154.12 is: 212.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.33 : 280.98 = 154.12 : x
  2. Step 2: Convert to fraction form
    203.33/280.98 = 154.12/x
  3. Step 3: Cross multiply
    203.33x = 280.98 × 154.12
  4. Step 4: Simplify right side
    203.33x = 43,304.64
  5. Step 5: Solve for x
    x = 43,304.64/203.33
  6. Step 6: Final answer
    x = 212.98

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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.