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Finding the Fourth Proportional to 449.40, 672.66 and 363

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Solution

The fourth proportional to 449.40, 672.66 and 363 is: 543.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.40 : 672.66 = 363 : x
  2. Step 2: Convert to fraction form
    449.40/672.66 = 363/x
  3. Step 3: Cross multiply
    449.40x = 672.66 × 363
  4. Step 4: Simplify right side
    449.40x = 244,175.58
  5. Step 5: Solve for x
    x = 244,175.58/449.40
  6. Step 6: Final answer
    x = 543.34

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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.