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Finding the Fourth Proportional to 851.39, 1,276.81 and 274.13

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Solution

The fourth proportional to 851.39, 1,276.81 and 274.13 is: 411.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.39 : 1,276.81 = 274.13 : x
  2. Step 2: Convert to fraction form
    851.39/1,276.81 = 274.13/x
  3. Step 3: Cross multiply
    851.39x = 1,276.81 × 274.13
  4. Step 4: Simplify right side
    851.39x = 350,004.86
  5. Step 5: Solve for x
    x = 350,004.86/851.39
  6. Step 6: Final answer
    x = 411.10

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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.