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Finding the Fourth Proportional to 451.34, 622.87 and 264.83

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Solution

The fourth proportional to 451.34, 622.87 and 264.83 is: 365.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.34 : 622.87 = 264.83 : x
  2. Step 2: Convert to fraction form
    451.34/622.87 = 264.83/x
  3. Step 3: Cross multiply
    451.34x = 622.87 × 264.83
  4. Step 4: Simplify right side
    451.34x = 164,954.90
  5. Step 5: Solve for x
    x = 164,954.90/451.34
  6. Step 6: Final answer
    x = 365.48

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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.