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Finding the Fourth Proportional to 449.50, 673.27 and 243.63

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Solution

The fourth proportional to 449.50, 673.27 and 243.63 is: 364.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.50 : 673.27 = 243.63 : x
  2. Step 2: Convert to fraction form
    449.50/673.27 = 243.63/x
  3. Step 3: Cross multiply
    449.50x = 673.27 × 243.63
  4. Step 4: Simplify right side
    449.50x = 164,030.74
  5. Step 5: Solve for x
    x = 164,030.74/449.50
  6. Step 6: Final answer
    x = 364.92

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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.