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Finding the Fourth Proportional to 451.98, 622.87 and 302.45

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Solution

The fourth proportional to 451.98, 622.87 and 302.45 is: 416.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.98 : 622.87 = 302.45 : x
  2. Step 2: Convert to fraction form
    451.98/622.87 = 302.45/x
  3. Step 3: Cross multiply
    451.98x = 622.87 × 302.45
  4. Step 4: Simplify right side
    451.98x = 188,383.16
  5. Step 5: Solve for x
    x = 188,383.16/451.98
  6. Step 6: Final answer
    x = 416.80

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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.