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Finding the Fourth Proportional to 451.05, 622.32 and 311.21

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Solution

The fourth proportional to 451.05, 622.32 and 311.21 is: 429.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.05 : 622.32 = 311.21 : x
  2. Step 2: Convert to fraction form
    451.05/622.32 = 311.21/x
  3. Step 3: Cross multiply
    451.05x = 622.32 × 311.21
  4. Step 4: Simplify right side
    451.05x = 193,669.10
  5. Step 5: Solve for x
    x = 193,669.10/451.05
  6. Step 6: Final answer
    x = 429.37

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Double scale
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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.