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Finding the Fourth Proportional to 448.96, 674.66 and 232.72

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Solution

The fourth proportional to 448.96, 674.66 and 232.72 is: 349.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.96 : 674.66 = 232.72 : x
  2. Step 2: Convert to fraction form
    448.96/674.66 = 232.72/x
  3. Step 3: Cross multiply
    448.96x = 674.66 × 232.72
  4. Step 4: Simplify right side
    448.96x = 157,006.88
  5. Step 5: Solve for x
    x = 157,006.88/448.96
  6. Step 6: Final answer
    x = 349.71

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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.