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Finding the Fourth Proportional to 450.98, 675.45 and 274.80

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Solution

The fourth proportional to 450.98, 675.45 and 274.80 is: 411.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.98 : 675.45 = 274.80 : x
  2. Step 2: Convert to fraction form
    450.98/675.45 = 274.80/x
  3. Step 3: Cross multiply
    450.98x = 675.45 × 274.80
  4. Step 4: Simplify right side
    450.98x = 185,613.66
  5. Step 5: Solve for x
    x = 185,613.66/450.98
  6. Step 6: Final answer
    x = 411.58

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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.