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Finding the Fourth Proportional to 246.65, 369.99 and 102.38

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Solution

The fourth proportional to 246.65, 369.99 and 102.38 is: 153.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.65 : 369.99 = 102.38 : x
  2. Step 2: Convert to fraction form
    246.65/369.99 = 102.38/x
  3. Step 3: Cross multiply
    246.65x = 369.99 × 102.38
  4. Step 4: Simplify right side
    246.65x = 37,877.73
  5. Step 5: Solve for x
    x = 37,877.73/246.65
  6. Step 6: Final answer
    x = 153.57

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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.