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Finding the Fourth Proportional to 451.39, 622.84 and 311.86

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Solution

The fourth proportional to 451.39, 622.84 and 311.86 is: 430.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.39 : 622.84 = 311.86 : x
  2. Step 2: Convert to fraction form
    451.39/622.84 = 311.86/x
  3. Step 3: Cross multiply
    451.39x = 622.84 × 311.86
  4. Step 4: Simplify right side
    451.39x = 194,238.88
  5. Step 5: Solve for x
    x = 194,238.88/451.39
  6. Step 6: Final answer
    x = 430.31

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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.