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Finding the Fourth Proportional to 203.81, 280.77 and 162.35

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Solution

The fourth proportional to 203.81, 280.77 and 162.35 is: 223.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.81 : 280.77 = 162.35 : x
  2. Step 2: Convert to fraction form
    203.81/280.77 = 162.35/x
  3. Step 3: Cross multiply
    203.81x = 280.77 × 162.35
  4. Step 4: Simplify right side
    203.81x = 45,583.01
  5. Step 5: Solve for x
    x = 45,583.01/203.81
  6. Step 6: Final answer
    x = 223.65

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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.