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Finding the Fourth Proportional to 272.00, 408.65 and 174.69

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Solution

The fourth proportional to 272.00, 408.65 and 174.69 is: 262.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.00 : 408.65 = 174.69 : x
  2. Step 2: Convert to fraction form
    272.00/408.65 = 174.69/x
  3. Step 3: Cross multiply
    272.00x = 408.65 × 174.69
  4. Step 4: Simplify right side
    272.00x = 71,386.20
  5. Step 5: Solve for x
    x = 71,386.20/272.00
  6. Step 6: Final answer
    x = 262.45

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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.