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Finding the Fourth Proportional to 451.09, 622.66 and 264.59

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Solution

The fourth proportional to 451.09, 622.66 and 264.59 is: 365.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.09 : 622.66 = 264.59 : x
  2. Step 2: Convert to fraction form
    451.09/622.66 = 264.59/x
  3. Step 3: Cross multiply
    451.09x = 622.66 × 264.59
  4. Step 4: Simplify right side
    451.09x = 164,745.83
  5. Step 5: Solve for x
    x = 164,745.83/451.09
  6. Step 6: Final answer
    x = 365.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.