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Finding the Fourth Proportional to 451.14, 622.71 and 303.90

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Solution

The fourth proportional to 451.14, 622.71 and 303.90 is: 419.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.14 : 622.71 = 303.90 : x
  2. Step 2: Convert to fraction form
    451.14/622.71 = 303.90/x
  3. Step 3: Cross multiply
    451.14x = 622.71 × 303.90
  4. Step 4: Simplify right side
    451.14x = 189,241.57
  5. Step 5: Solve for x
    x = 189,241.57/451.14
  6. Step 6: Final answer
    x = 419.47

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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.