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Finding the Fourth Proportional to 309.56, 427.20 and 178.55

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Solution

The fourth proportional to 309.56, 427.20 and 178.55 is: 246.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.56 : 427.20 = 178.55 : x
  2. Step 2: Convert to fraction form
    309.56/427.20 = 178.55/x
  3. Step 3: Cross multiply
    309.56x = 427.20 × 178.55
  4. Step 4: Simplify right side
    309.56x = 76,274.42
  5. Step 5: Solve for x
    x = 76,274.42/309.56
  6. Step 6: Final answer
    x = 246.39

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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.