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Finding the Fourth Proportional to 272.61, 408.89 and 110.25

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Solution

The fourth proportional to 272.61, 408.89 and 110.25 is: 165.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.61 : 408.89 = 110.25 : x
  2. Step 2: Convert to fraction form
    272.61/408.89 = 110.25/x
  3. Step 3: Cross multiply
    272.61x = 408.89 × 110.25
  4. Step 4: Simplify right side
    272.61x = 45,080.40
  5. Step 5: Solve for x
    x = 45,080.40/272.61
  6. Step 6: Final answer
    x = 165.37

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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.