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Finding the Fourth Proportional to 309.87, 427.58 and 177.09

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Solution

The fourth proportional to 309.87, 427.58 and 177.09 is: 244.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.87 : 427.58 = 177.09 : x
  2. Step 2: Convert to fraction form
    309.87/427.58 = 177.09/x
  3. Step 3: Cross multiply
    309.87x = 427.58 × 177.09
  4. Step 4: Simplify right side
    309.87x = 75,720.14
  5. Step 5: Solve for x
    x = 75,720.14/309.87
  6. Step 6: Final answer
    x = 244.36

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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.