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Finding the Fourth Proportional to 450.12, 674.10 and 257.16

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Solution

The fourth proportional to 450.12, 674.10 and 257.16 is: 385.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.12 : 674.10 = 257.16 : x
  2. Step 2: Convert to fraction form
    450.12/674.10 = 257.16/x
  3. Step 3: Cross multiply
    450.12x = 674.10 × 257.16
  4. Step 4: Simplify right side
    450.12x = 173,351.56
  5. Step 5: Solve for x
    x = 173,351.56/450.12
  6. Step 6: Final answer
    x = 385.12

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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.