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Finding the Fourth Proportional to 309.40, 427.05 and 204.44

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Solution

The fourth proportional to 309.40, 427.05 and 204.44 is: 282.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.40 : 427.05 = 204.44 : x
  2. Step 2: Convert to fraction form
    309.40/427.05 = 204.44/x
  3. Step 3: Cross multiply
    309.40x = 427.05 × 204.44
  4. Step 4: Simplify right side
    309.40x = 87,306.10
  5. Step 5: Solve for x
    x = 87,306.10/309.40
  6. Step 6: Final answer
    x = 282.18

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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.