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Finding the Fourth Proportional to 274.34, 411.50 and 68.91

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Solution

The fourth proportional to 274.34, 411.50 and 68.91 is: 103.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.34 : 411.50 = 68.91 : x
  2. Step 2: Convert to fraction form
    274.34/411.50 = 68.91/x
  3. Step 3: Cross multiply
    274.34x = 411.50 × 68.91
  4. Step 4: Simplify right side
    274.34x = 28,355.09
  5. Step 5: Solve for x
    x = 28,355.09/274.34
  6. Step 6: Final answer
    x = 103.36

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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.