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Finding the Fourth Proportional to 253.06, 379.60 and 195.37

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Solution

The fourth proportional to 253.06, 379.60 and 195.37 is: 293.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.06 : 379.60 = 195.37 : x
  2. Step 2: Convert to fraction form
    253.06/379.60 = 195.37/x
  3. Step 3: Cross multiply
    253.06x = 379.60 × 195.37
  4. Step 4: Simplify right side
    253.06x = 74,161.84
  5. Step 5: Solve for x
    x = 74,161.84/253.06
  6. Step 6: Final answer
    x = 293.06

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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.