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Finding the Fourth Proportional to 638.42, 957.75 and 273.20

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Solution

The fourth proportional to 638.42, 957.75 and 273.20 is: 409.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.42 : 957.75 = 273.20 : x
  2. Step 2: Convert to fraction form
    638.42/957.75 = 273.20/x
  3. Step 3: Cross multiply
    638.42x = 957.75 × 273.20
  4. Step 4: Simplify right side
    638.42x = 261,652.51
  5. Step 5: Solve for x
    x = 261,652.51/638.42
  6. Step 6: Final answer
    x = 409.85

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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.