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Finding the Fourth Proportional to 246.06, 368.45 and 197.87

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Solution

The fourth proportional to 246.06, 368.45 and 197.87 is: 296.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.06 : 368.45 = 197.87 : x
  2. Step 2: Convert to fraction form
    246.06/368.45 = 197.87/x
  3. Step 3: Cross multiply
    246.06x = 368.45 × 197.87
  4. Step 4: Simplify right side
    246.06x = 72,902.37
  5. Step 5: Solve for x
    x = 72,902.37/246.06
  6. Step 6: Final answer
    x = 296.28

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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.