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Finding the Fourth Proportional to 450.65, 674.58 and 252.71

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Solution

The fourth proportional to 450.65, 674.58 and 252.71 is: 378.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.65 : 674.58 = 252.71 : x
  2. Step 2: Convert to fraction form
    450.65/674.58 = 252.71/x
  3. Step 3: Cross multiply
    450.65x = 674.58 × 252.71
  4. Step 4: Simplify right side
    450.65x = 170,473.11
  5. Step 5: Solve for x
    x = 170,473.11/450.65
  6. Step 6: Final answer
    x = 378.28

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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.