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Finding the Fourth Proportional to 638.37, 956.70 and 273.06

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Solution

The fourth proportional to 638.37, 956.70 and 273.06 is: 409.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.37 : 956.70 = 273.06 : x
  2. Step 2: Convert to fraction form
    638.37/956.70 = 273.06/x
  3. Step 3: Cross multiply
    638.37x = 956.70 × 273.06
  4. Step 4: Simplify right side
    638.37x = 261,236.50
  5. Step 5: Solve for x
    x = 261,236.50/638.37
  6. Step 6: Final answer
    x = 409.22

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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.