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Finding the Fourth Proportional to 448.90, 673.44 and 140.75

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Solution

The fourth proportional to 448.90, 673.44 and 140.75 is: 211.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.90 : 673.44 = 140.75 : x
  2. Step 2: Convert to fraction form
    448.90/673.44 = 140.75/x
  3. Step 3: Cross multiply
    448.90x = 673.44 × 140.75
  4. Step 4: Simplify right side
    448.90x = 94,783.31
  5. Step 5: Solve for x
    x = 94,783.31/448.90
  6. Step 6: Final answer
    x = 211.15

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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.