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Finding the Fourth Proportional to 309.40, 427 and 178.42

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Solution

The fourth proportional to 309.40, 427 and 178.42 is: 246.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.40 : 427 = 178.42 : x
  2. Step 2: Convert to fraction form
    309.40/427 = 178.42/x
  3. Step 3: Cross multiply
    309.40x = 427 × 178.42
  4. Step 4: Simplify right side
    309.40x = 76,185.34
  5. Step 5: Solve for x
    x = 76,185.34/309.40
  6. Step 6: Final answer
    x = 246.24

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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.