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Finding the Fourth Proportional to 449.62, 673.91 and 175.55

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Solution

The fourth proportional to 449.62, 673.91 and 175.55 is: 263.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.62 : 673.91 = 175.55 : x
  2. Step 2: Convert to fraction form
    449.62/673.91 = 175.55/x
  3. Step 3: Cross multiply
    449.62x = 673.91 × 175.55
  4. Step 4: Simplify right side
    449.62x = 118,304.02
  5. Step 5: Solve for x
    x = 118,304.02/449.62
  6. Step 6: Final answer
    x = 263.12

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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.