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Finding the Fourth Proportional to 288.40, 396.96 and 277.84

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Solution

The fourth proportional to 288.40, 396.96 and 277.84 is: 382.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.40 : 396.96 = 277.84 : x
  2. Step 2: Convert to fraction form
    288.40/396.96 = 277.84/x
  3. Step 3: Cross multiply
    288.40x = 396.96 × 277.84
  4. Step 4: Simplify right side
    288.40x = 110,291.37
  5. Step 5: Solve for x
    x = 110,291.37/288.40
  6. Step 6: Final answer
    x = 382.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.