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Finding the Fourth Proportional to 272.73, 408.54 and 176.25

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Solution

The fourth proportional to 272.73, 408.54 and 176.25 is: 264.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.73 : 408.54 = 176.25 : x
  2. Step 2: Convert to fraction form
    272.73/408.54 = 176.25/x
  3. Step 3: Cross multiply
    272.73x = 408.54 × 176.25
  4. Step 4: Simplify right side
    272.73x = 72,005.18
  5. Step 5: Solve for x
    x = 72,005.18/272.73
  6. Step 6: Final answer
    x = 264.02

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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.