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Finding the Fourth Proportional to 246.13, 368.85 and 101.95

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Solution

The fourth proportional to 246.13, 368.85 and 101.95 is: 152.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.13 : 368.85 = 101.95 : x
  2. Step 2: Convert to fraction form
    246.13/368.85 = 101.95/x
  3. Step 3: Cross multiply
    246.13x = 368.85 × 101.95
  4. Step 4: Simplify right side
    246.13x = 37,604.26
  5. Step 5: Solve for x
    x = 37,604.26/246.13
  6. Step 6: Final answer
    x = 152.78

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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.