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Finding the Fourth Proportional to 427.52, 589.44 and 309.44

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Solution

The fourth proportional to 427.52, 589.44 and 309.44 is: 426.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.52 : 589.44 = 309.44 : x
  2. Step 2: Convert to fraction form
    427.52/589.44 = 309.44/x
  3. Step 3: Cross multiply
    427.52x = 589.44 × 309.44
  4. Step 4: Simplify right side
    427.52x = 182,396.31
  5. Step 5: Solve for x
    x = 182,396.31/427.52
  6. Step 6: Final answer
    x = 426.64

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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.