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Finding the Fourth Proportional to 288.95, 396.36 and 281.75

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Solution

The fourth proportional to 288.95, 396.36 and 281.75 is: 386.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.95 : 396.36 = 281.75 : x
  2. Step 2: Convert to fraction form
    288.95/396.36 = 281.75/x
  3. Step 3: Cross multiply
    288.95x = 396.36 × 281.75
  4. Step 4: Simplify right side
    288.95x = 111,672.45
  5. Step 5: Solve for x
    x = 111,672.45/288.95
  6. Step 6: Final answer
    x = 386.48

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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.