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Finding the Fourth Proportional to 246.12, 368.86 and 159.40

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Solution

The fourth proportional to 246.12, 368.86 and 159.40 is: 238.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.12 : 368.86 = 159.40 : x
  2. Step 2: Convert to fraction form
    246.12/368.86 = 159.40/x
  3. Step 3: Cross multiply
    246.12x = 368.86 × 159.40
  4. Step 4: Simplify right side
    246.12x = 58,796.28
  5. Step 5: Solve for x
    x = 58,796.28/246.12
  6. Step 6: Final answer
    x = 238.89

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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.