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Finding the Fourth Proportional to 448.67, 673.25 and 174.78

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Solution

The fourth proportional to 448.67, 673.25 and 174.78 is: 262.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.67 : 673.25 = 174.78 : x
  2. Step 2: Convert to fraction form
    448.67/673.25 = 174.78/x
  3. Step 3: Cross multiply
    448.67x = 673.25 × 174.78
  4. Step 4: Simplify right side
    448.67x = 117,670.64
  5. Step 5: Solve for x
    x = 117,670.64/448.67
  6. Step 6: Final answer
    x = 262.27

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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.