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Finding the Fourth Proportional to 449.79, 674.23 and 243.93

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Solution

The fourth proportional to 449.79, 674.23 and 243.93 is: 365.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.79 : 674.23 = 243.93 : x
  2. Step 2: Convert to fraction form
    449.79/674.23 = 243.93/x
  3. Step 3: Cross multiply
    449.79x = 674.23 × 243.93
  4. Step 4: Simplify right side
    449.79x = 164,461.79
  5. Step 5: Solve for x
    x = 164,461.79/449.79
  6. Step 6: Final answer
    x = 365.64

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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.