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Finding the Fourth Proportional to 309.96, 427.72 and 177.18

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Solution

The fourth proportional to 309.96, 427.72 and 177.18 is: 244.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.96 : 427.72 = 177.18 : x
  2. Step 2: Convert to fraction form
    309.96/427.72 = 177.18/x
  3. Step 3: Cross multiply
    309.96x = 427.72 × 177.18
  4. Step 4: Simplify right side
    309.96x = 75,783.43
  5. Step 5: Solve for x
    x = 75,783.43/309.96
  6. Step 6: Final answer
    x = 244.49

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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.