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Finding the Fourth Proportional to 246.35, 368.92 and 208.08

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Solution

The fourth proportional to 246.35, 368.92 and 208.08 is: 311.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.35 : 368.92 = 208.08 : x
  2. Step 2: Convert to fraction form
    246.35/368.92 = 208.08/x
  3. Step 3: Cross multiply
    246.35x = 368.92 × 208.08
  4. Step 4: Simplify right side
    246.35x = 76,765.13
  5. Step 5: Solve for x
    x = 76,765.13/246.35
  6. Step 6: Final answer
    x = 311.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.