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Finding the Fourth Proportional to 447.54, 671.36 and 139.34

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Solution

The fourth proportional to 447.54, 671.36 and 139.34 is: 209.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.54 : 671.36 = 139.34 : x
  2. Step 2: Convert to fraction form
    447.54/671.36 = 139.34/x
  3. Step 3: Cross multiply
    447.54x = 671.36 × 139.34
  4. Step 4: Simplify right side
    447.54x = 93,547.30
  5. Step 5: Solve for x
    x = 93,547.30/447.54
  6. Step 6: Final answer
    x = 209.03

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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.