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Finding the Fourth Proportional to 448.60, 673.38 and 232.12

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Solution

The fourth proportional to 448.60, 673.38 and 232.12 is: 348.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.60 : 673.38 = 232.12 : x
  2. Step 2: Convert to fraction form
    448.60/673.38 = 232.12/x
  3. Step 3: Cross multiply
    448.60x = 673.38 × 232.12
  4. Step 4: Simplify right side
    448.60x = 156,304.97
  5. Step 5: Solve for x
    x = 156,304.97/448.60
  6. Step 6: Final answer
    x = 348.43

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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.