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Finding the Fourth Proportional to 451.67, 623.34 and 311.73

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Solution

The fourth proportional to 451.67, 623.34 and 311.73 is: 430.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.67 : 623.34 = 311.73 : x
  2. Step 2: Convert to fraction form
    451.67/623.34 = 311.73/x
  3. Step 3: Cross multiply
    451.67x = 623.34 × 311.73
  4. Step 4: Simplify right side
    451.67x = 194,313.78
  5. Step 5: Solve for x
    x = 194,313.78/451.67
  6. Step 6: Final answer
    x = 430.22

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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.