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Finding the Fourth Proportional to 289.07, 396.28 and 283.84

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Solution

The fourth proportional to 289.07, 396.28 and 283.84 is: 389.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.07 : 396.28 = 283.84 : x
  2. Step 2: Convert to fraction form
    289.07/396.28 = 283.84/x
  3. Step 3: Cross multiply
    289.07x = 396.28 × 283.84
  4. Step 4: Simplify right side
    289.07x = 112,477.88
  5. Step 5: Solve for x
    x = 112,477.88/289.07
  6. Step 6: Final answer
    x = 389.10

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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.