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Finding the Fourth Proportional to 274.62, 412.10 and 112.30

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Solution

The fourth proportional to 274.62, 412.10 and 112.30 is: 168.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.62 : 412.10 = 112.30 : x
  2. Step 2: Convert to fraction form
    274.62/412.10 = 112.30/x
  3. Step 3: Cross multiply
    274.62x = 412.10 × 112.30
  4. Step 4: Simplify right side
    274.62x = 46,278.27
  5. Step 5: Solve for x
    x = 46,278.27/274.62
  6. Step 6: Final answer
    x = 168.52

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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.