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Finding the Fourth Proportional to 283.57, 393.14 and 273.55

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Solution

The fourth proportional to 283.57, 393.14 and 273.55 is: 379.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.57 : 393.14 = 273.55 : x
  2. Step 2: Convert to fraction form
    283.57/393.14 = 273.55/x
  3. Step 3: Cross multiply
    283.57x = 393.14 × 273.55
  4. Step 4: Simplify right side
    283.57x = 107,543.15
  5. Step 5: Solve for x
    x = 107,543.15/283.57
  6. Step 6: Final answer
    x = 379.25

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.