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Finding the Fourth Proportional to 451.89, 677.84 and 127.28

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Solution

The fourth proportional to 451.89, 677.84 and 127.28 is: 190.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.89 : 677.84 = 127.28 : x
  2. Step 2: Convert to fraction form
    451.89/677.84 = 127.28/x
  3. Step 3: Cross multiply
    451.89x = 677.84 × 127.28
  4. Step 4: Simplify right side
    451.89x = 86,276.53
  5. Step 5: Solve for x
    x = 86,276.53/451.89
  6. Step 6: Final answer
    x = 190.92

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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.