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Finding the Fourth Proportional to 449.75, 618.41 and 384.14

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Solution

The fourth proportional to 449.75, 618.41 and 384.14 is: 528.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.75 : 618.41 = 384.14 : x
  2. Step 2: Convert to fraction form
    449.75/618.41 = 384.14/x
  3. Step 3: Cross multiply
    449.75x = 618.41 × 384.14
  4. Step 4: Simplify right side
    449.75x = 237,556.02
  5. Step 5: Solve for x
    x = 237,556.02/449.75
  6. Step 6: Final answer
    x = 528.20

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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.