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Finding the Fourth Proportional to 274.17, 410.86 and 111.67

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Solution

The fourth proportional to 274.17, 410.86 and 111.67 is: 167.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.17 : 410.86 = 111.67 : x
  2. Step 2: Convert to fraction form
    274.17/410.86 = 111.67/x
  3. Step 3: Cross multiply
    274.17x = 410.86 × 111.67
  4. Step 4: Simplify right side
    274.17x = 45,880.74
  5. Step 5: Solve for x
    x = 45,880.74/274.17
  6. Step 6: Final answer
    x = 167.34

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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.