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Finding the Fourth Proportional to 274.74, 410.35 and 248.67

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Solution

The fourth proportional to 274.74, 410.35 and 248.67 is: 371.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.74 : 410.35 = 248.67 : x
  2. Step 2: Convert to fraction form
    274.74/410.35 = 248.67/x
  3. Step 3: Cross multiply
    274.74x = 410.35 × 248.67
  4. Step 4: Simplify right side
    274.74x = 102,040.04
  5. Step 5: Solve for x
    x = 102,040.04/274.74
  6. Step 6: Final answer
    x = 371.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.