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Finding the Fourth Proportional to 449.85, 621.06 and 310.21

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Solution

The fourth proportional to 449.85, 621.06 and 310.21 is: 428.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.85 : 621.06 = 310.21 : x
  2. Step 2: Convert to fraction form
    449.85/621.06 = 310.21/x
  3. Step 3: Cross multiply
    449.85x = 621.06 × 310.21
  4. Step 4: Simplify right side
    449.85x = 192,659.02
  5. Step 5: Solve for x
    x = 192,659.02/449.85
  6. Step 6: Final answer
    x = 428.27

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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.