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Finding the Fourth Proportional to 274.06, 411 and 100.72

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Solution

The fourth proportional to 274.06, 411 and 100.72 is: 151.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.06 : 411 = 100.72 : x
  2. Step 2: Convert to fraction form
    274.06/411 = 100.72/x
  3. Step 3: Cross multiply
    274.06x = 411 × 100.72
  4. Step 4: Simplify right side
    274.06x = 41,395.92
  5. Step 5: Solve for x
    x = 41,395.92/274.06
  6. Step 6: Final answer
    x = 151.05

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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.