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Finding the Fourth Proportional to 420.50, 628.94 and 303.63

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Solution

The fourth proportional to 420.50, 628.94 and 303.63 is: 454.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.50 : 628.94 = 303.63 : x
  2. Step 2: Convert to fraction form
    420.50/628.94 = 303.63/x
  3. Step 3: Cross multiply
    420.50x = 628.94 × 303.63
  4. Step 4: Simplify right side
    420.50x = 190,965.05
  5. Step 5: Solve for x
    x = 190,965.05/420.50
  6. Step 6: Final answer
    x = 454.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.