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Finding the Fourth Proportional to 451.32, 677.01 and 122.31

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Solution

The fourth proportional to 451.32, 677.01 and 122.31 is: 183.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.32 : 677.01 = 122.31 : x
  2. Step 2: Convert to fraction form
    451.32/677.01 = 122.31/x
  3. Step 3: Cross multiply
    451.32x = 677.01 × 122.31
  4. Step 4: Simplify right side
    451.32x = 82,805.09
  5. Step 5: Solve for x
    x = 82,805.09/451.32
  6. Step 6: Final answer
    x = 183.47

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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.