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Finding the Fourth Proportional to 246.13, 368.94 and 91.96

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Solution

The fourth proportional to 246.13, 368.94 and 91.96 is: 137.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.13 : 368.94 = 91.96 : x
  2. Step 2: Convert to fraction form
    246.13/368.94 = 91.96/x
  3. Step 3: Cross multiply
    246.13x = 368.94 × 91.96
  4. Step 4: Simplify right side
    246.13x = 33,926.34
  5. Step 5: Solve for x
    x = 33,926.34/246.13
  6. Step 6: Final answer
    x = 137.84

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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.