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Finding the Fourth Proportional to 246.34, 367.64 and 219.00

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Solution

The fourth proportional to 246.34, 367.64 and 219.00 is: 326.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.34 : 367.64 = 219.00 : x
  2. Step 2: Convert to fraction form
    246.34/367.64 = 219.00/x
  3. Step 3: Cross multiply
    246.34x = 367.64 × 219.00
  4. Step 4: Simplify right side
    246.34x = 80,514.26
  5. Step 5: Solve for x
    x = 80,514.26/246.34
  6. Step 6: Final answer
    x = 326.84

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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.