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Finding the Fourth Proportional to 203.18, 280.06 and 150.73

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Solution

The fourth proportional to 203.18, 280.06 and 150.73 is: 207.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.18 : 280.06 = 150.73 : x
  2. Step 2: Convert to fraction form
    203.18/280.06 = 150.73/x
  3. Step 3: Cross multiply
    203.18x = 280.06 × 150.73
  4. Step 4: Simplify right side
    203.18x = 42,212.37
  5. Step 5: Solve for x
    x = 42,212.37/203.18
  6. Step 6: Final answer
    x = 207.76

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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.