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Finding the Fourth Proportional to 274.16, 411.26 and 91.50

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Solution

The fourth proportional to 274.16, 411.26 and 91.50 is: 137.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.16 : 411.26 = 91.50 : x
  2. Step 2: Convert to fraction form
    274.16/411.26 = 91.50/x
  3. Step 3: Cross multiply
    274.16x = 411.26 × 91.50
  4. Step 4: Simplify right side
    274.16x = 37,630.29
  5. Step 5: Solve for x
    x = 37,630.29/274.16
  6. Step 6: Final answer
    x = 137.26

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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.