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Finding the Fourth Proportional to 203.95, 282.18 and 178.12

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Solution

The fourth proportional to 203.95, 282.18 and 178.12 is: 246.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.95 : 282.18 = 178.12 : x
  2. Step 2: Convert to fraction form
    203.95/282.18 = 178.12/x
  3. Step 3: Cross multiply
    203.95x = 282.18 × 178.12
  4. Step 4: Simplify right side
    203.95x = 50,261.90
  5. Step 5: Solve for x
    x = 50,261.90/203.95
  6. Step 6: Final answer
    x = 246.44

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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.