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Finding the Fourth Proportional to 203.77, 281.40 and 169.15

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Solution

The fourth proportional to 203.77, 281.40 and 169.15 is: 233.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.77 : 281.40 = 169.15 : x
  2. Step 2: Convert to fraction form
    203.77/281.40 = 169.15/x
  3. Step 3: Cross multiply
    203.77x = 281.40 × 169.15
  4. Step 4: Simplify right side
    203.77x = 47,598.81
  5. Step 5: Solve for x
    x = 47,598.81/203.77
  6. Step 6: Final answer
    x = 233.59

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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.