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Finding the Fourth Proportional to 449.42, 621.32 and 302.81

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Solution

The fourth proportional to 449.42, 621.32 and 302.81 is: 418.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.42 : 621.32 = 302.81 : x
  2. Step 2: Convert to fraction form
    449.42/621.32 = 302.81/x
  3. Step 3: Cross multiply
    449.42x = 621.32 × 302.81
  4. Step 4: Simplify right side
    449.42x = 188,137.29
  5. Step 5: Solve for x
    x = 188,137.29/449.42
  6. Step 6: Final answer
    x = 418.63

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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.