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Finding the Fourth Proportional to 289.79, 397.46 and 274.10

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Solution

The fourth proportional to 289.79, 397.46 and 274.10 is: 375.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.79 : 397.46 = 274.10 : x
  2. Step 2: Convert to fraction form
    289.79/397.46 = 274.10/x
  3. Step 3: Cross multiply
    289.79x = 397.46 × 274.10
  4. Step 4: Simplify right side
    289.79x = 108,940.43
  5. Step 5: Solve for x
    x = 108,940.43/289.79
  6. Step 6: Final answer
    x = 375.94

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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.