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Finding the Fourth Proportional to 274.06, 410.72 and 187.25

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Solution

The fourth proportional to 274.06, 410.72 and 187.25 is: 280.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.06 : 410.72 = 187.25 : x
  2. Step 2: Convert to fraction form
    274.06/410.72 = 187.25/x
  3. Step 3: Cross multiply
    274.06x = 410.72 × 187.25
  4. Step 4: Simplify right side
    274.06x = 76,907.41
  5. Step 5: Solve for x
    x = 76,907.41/274.06
  6. Step 6: Final answer
    x = 280.63

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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.