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Finding the Fourth Proportional to 850.34, 1,275.62 and 273.26

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Solution

The fourth proportional to 850.34, 1,275.62 and 273.26 is: 409.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.34 : 1,275.62 = 273.26 : x
  2. Step 2: Convert to fraction form
    850.34/1,275.62 = 273.26/x
  3. Step 3: Cross multiply
    850.34x = 1,275.62 × 273.26
  4. Step 4: Simplify right side
    850.34x = 348,575.92
  5. Step 5: Solve for x
    x = 348,575.92/850.34
  6. Step 6: Final answer
    x = 409.93

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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.