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Finding the Fourth Proportional to 638.16, 956.63 and 273.06

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Solution

The fourth proportional to 638.16, 956.63 and 273.06 is: 409.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.16 : 956.63 = 273.06 : x
  2. Step 2: Convert to fraction form
    638.16/956.63 = 273.06/x
  3. Step 3: Cross multiply
    638.16x = 956.63 × 273.06
  4. Step 4: Simplify right side
    638.16x = 261,216.02
  5. Step 5: Solve for x
    x = 261,216.02/638.16
  6. Step 6: Final answer
    x = 409.33

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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.