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Finding the Fourth Proportional to 246.39, 367.55 and 205.35

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Solution

The fourth proportional to 246.39, 367.55 and 205.35 is: 306.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.39 : 367.55 = 205.35 : x
  2. Step 2: Convert to fraction form
    246.39/367.55 = 205.35/x
  3. Step 3: Cross multiply
    246.39x = 367.55 × 205.35
  4. Step 4: Simplify right side
    246.39x = 75,475.37
  5. Step 5: Solve for x
    x = 75,475.37/246.39
  6. Step 6: Final answer
    x = 306.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.