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Finding the Fourth Proportional to 450.98, 622.82 and 311.46

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Solution

The fourth proportional to 450.98, 622.82 and 311.46 is: 430.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.98 : 622.82 = 311.46 : x
  2. Step 2: Convert to fraction form
    450.98/622.82 = 311.46/x
  3. Step 3: Cross multiply
    450.98x = 622.82 × 311.46
  4. Step 4: Simplify right side
    450.98x = 193,983.52
  5. Step 5: Solve for x
    x = 193,983.52/450.98
  6. Step 6: Final answer
    x = 430.14

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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.