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Finding the Fourth Proportional to 283.46, 388.85 and 275.85

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Solution

The fourth proportional to 283.46, 388.85 and 275.85 is: 378.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.46 : 388.85 = 275.85 : x
  2. Step 2: Convert to fraction form
    283.46/388.85 = 275.85/x
  3. Step 3: Cross multiply
    283.46x = 388.85 × 275.85
  4. Step 4: Simplify right side
    283.46x = 107,262.89
  5. Step 5: Solve for x
    x = 107,262.89/283.46
  6. Step 6: Final answer
    x = 378.41

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.