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Finding the Fourth Proportional to 283.20, 392.62 and 273.17

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Solution

The fourth proportional to 283.20, 392.62 and 273.17 is: 378.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.20 : 392.62 = 273.17 : x
  2. Step 2: Convert to fraction form
    283.20/392.62 = 273.17/x
  3. Step 3: Cross multiply
    283.20x = 392.62 × 273.17
  4. Step 4: Simplify right side
    283.20x = 107,253.33
  5. Step 5: Solve for x
    x = 107,253.33/283.20
  6. Step 6: Final answer
    x = 378.72

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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.