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Finding the Fourth Proportional to 246.01, 368.87 and 105.13

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Solution

The fourth proportional to 246.01, 368.87 and 105.13 is: 157.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.01 : 368.87 = 105.13 : x
  2. Step 2: Convert to fraction form
    246.01/368.87 = 105.13/x
  3. Step 3: Cross multiply
    246.01x = 368.87 × 105.13
  4. Step 4: Simplify right side
    246.01x = 38,778.78
  5. Step 5: Solve for x
    x = 38,778.78/246.01
  6. Step 6: Final answer
    x = 157.63

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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.