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Finding the Fourth Proportional to 447.96, 671.88 and 139.77

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Solution

The fourth proportional to 447.96, 671.88 and 139.77 is: 209.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.96 : 671.88 = 139.77 : x
  2. Step 2: Convert to fraction form
    447.96/671.88 = 139.77/x
  3. Step 3: Cross multiply
    447.96x = 671.88 × 139.77
  4. Step 4: Simplify right side
    447.96x = 93,908.67
  5. Step 5: Solve for x
    x = 93,908.67/447.96
  6. Step 6: Final answer
    x = 209.64

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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.