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Finding the Fourth Proportional to 451.54, 677.05 and 139.13

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Solution

The fourth proportional to 451.54, 677.05 and 139.13 is: 208.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.54 : 677.05 = 139.13 : x
  2. Step 2: Convert to fraction form
    451.54/677.05 = 139.13/x
  3. Step 3: Cross multiply
    451.54x = 677.05 × 139.13
  4. Step 4: Simplify right side
    451.54x = 94,197.97
  5. Step 5: Solve for x
    x = 94,197.97/451.54
  6. Step 6: Final answer
    x = 208.61

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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.