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Finding the Fourth Proportional to 309.85, 427.53 and 178.90

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Solution

The fourth proportional to 309.85, 427.53 and 178.90 is: 246.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.85 : 427.53 = 178.90 : x
  2. Step 2: Convert to fraction form
    309.85/427.53 = 178.90/x
  3. Step 3: Cross multiply
    309.85x = 427.53 × 178.90
  4. Step 4: Simplify right side
    309.85x = 76,485.12
  5. Step 5: Solve for x
    x = 76,485.12/309.85
  6. Step 6: Final answer
    x = 246.85

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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.