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Finding the Fourth Proportional to 426.44, 588.57 and 309.94

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Solution

The fourth proportional to 426.44, 588.57 and 309.94 is: 427.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.44 : 588.57 = 309.94 : x
  2. Step 2: Convert to fraction form
    426.44/588.57 = 309.94/x
  3. Step 3: Cross multiply
    426.44x = 588.57 × 309.94
  4. Step 4: Simplify right side
    426.44x = 182,418.75
  5. Step 5: Solve for x
    x = 182,418.75/426.44
  6. Step 6: Final answer
    x = 427.77

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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.