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Finding the Fourth Proportional to 274.87, 412.06 and 103.99

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Solution

The fourth proportional to 274.87, 412.06 and 103.99 is: 155.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.87 : 412.06 = 103.99 : x
  2. Step 2: Convert to fraction form
    274.87/412.06 = 103.99/x
  3. Step 3: Cross multiply
    274.87x = 412.06 × 103.99
  4. Step 4: Simplify right side
    274.87x = 42,850.12
  5. Step 5: Solve for x
    x = 42,850.12/274.87
  6. Step 6: Final answer
    x = 155.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.