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Finding the Fourth Proportional to 246.56, 369.89 and 102.38

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Solution

The fourth proportional to 246.56, 369.89 and 102.38 is: 153.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.56 : 369.89 = 102.38 : x
  2. Step 2: Convert to fraction form
    246.56/369.89 = 102.38/x
  3. Step 3: Cross multiply
    246.56x = 369.89 × 102.38
  4. Step 4: Simplify right side
    246.56x = 37,869.34
  5. Step 5: Solve for x
    x = 37,869.34/246.56
  6. Step 6: Final answer
    x = 153.59

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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.