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Finding the Fourth Proportional to 274.85, 412.34 and 82.47

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Solution

The fourth proportional to 274.85, 412.34 and 82.47 is: 123.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.85 : 412.34 = 82.47 : x
  2. Step 2: Convert to fraction form
    274.85/412.34 = 82.47/x
  3. Step 3: Cross multiply
    274.85x = 412.34 × 82.47
  4. Step 4: Simplify right side
    274.85x = 34,005.68
  5. Step 5: Solve for x
    x = 34,005.68/274.85
  6. Step 6: Final answer
    x = 123.72

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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.