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Finding the Fourth Proportional to 289.69, 396.67 and 277.40

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Solution

The fourth proportional to 289.69, 396.67 and 277.40 is: 379.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.69 : 396.67 = 277.40 : x
  2. Step 2: Convert to fraction form
    289.69/396.67 = 277.40/x
  3. Step 3: Cross multiply
    289.69x = 396.67 × 277.40
  4. Step 4: Simplify right side
    289.69x = 110,036.26
  5. Step 5: Solve for x
    x = 110,036.26/289.69
  6. Step 6: Final answer
    x = 379.84

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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.