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Finding the Fourth Proportional to 309.85, 427.64 and 178.83

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Solution

The fourth proportional to 309.85, 427.64 and 178.83 is: 246.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.85 : 427.64 = 178.83 : x
  2. Step 2: Convert to fraction form
    309.85/427.64 = 178.83/x
  3. Step 3: Cross multiply
    309.85x = 427.64 × 178.83
  4. Step 4: Simplify right side
    309.85x = 76,474.86
  5. Step 5: Solve for x
    x = 76,474.86/309.85
  6. Step 6: Final answer
    x = 246.81

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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.