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Finding the Fourth Proportional to 253.98, 379.53 and 192.42

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Solution

The fourth proportional to 253.98, 379.53 and 192.42 is: 287.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.98 : 379.53 = 192.42 : x
  2. Step 2: Convert to fraction form
    253.98/379.53 = 192.42/x
  3. Step 3: Cross multiply
    253.98x = 379.53 × 192.42
  4. Step 4: Simplify right side
    253.98x = 73,029.16
  5. Step 5: Solve for x
    x = 73,029.16/253.98
  6. Step 6: Final answer
    x = 287.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.