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Finding the Fourth Proportional to 448.11, 671.96 and 140

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Solution

The fourth proportional to 448.11, 671.96 and 140 is: 209.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.11 : 671.96 = 140 : x
  2. Step 2: Convert to fraction form
    448.11/671.96 = 140/x
  3. Step 3: Cross multiply
    448.11x = 671.96 × 140
  4. Step 4: Simplify right side
    448.11x = 94,074.40
  5. Step 5: Solve for x
    x = 94,074.40/448.11
  6. Step 6: Final answer
    x = 209.94

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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.