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Finding the Fourth Proportional to 449.21, 618.47 and 383.45

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Solution

The fourth proportional to 449.21, 618.47 and 383.45 is: 527.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.21 : 618.47 = 383.45 : x
  2. Step 2: Convert to fraction form
    449.21/618.47 = 383.45/x
  3. Step 3: Cross multiply
    449.21x = 618.47 × 383.45
  4. Step 4: Simplify right side
    449.21x = 237,149.23
  5. Step 5: Solve for x
    x = 237,149.23/449.21
  6. Step 6: Final answer
    x = 527.93

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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.