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Finding the Fourth Proportional to 272.97, 409.51 and 110.77

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Solution

The fourth proportional to 272.97, 409.51 and 110.77 is: 166.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.97 : 409.51 = 110.77 : x
  2. Step 2: Convert to fraction form
    272.97/409.51 = 110.77/x
  3. Step 3: Cross multiply
    272.97x = 409.51 × 110.77
  4. Step 4: Simplify right side
    272.97x = 45,362.07
  5. Step 5: Solve for x
    x = 45,362.07/272.97
  6. Step 6: Final answer
    x = 166.18

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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.