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Finding the Fourth Proportional to 300.16, 450.60 and 257.68

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Solution

The fourth proportional to 300.16, 450.60 and 257.68 is: 386.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.16 : 450.60 = 257.68 : x
  2. Step 2: Convert to fraction form
    300.16/450.60 = 257.68/x
  3. Step 3: Cross multiply
    300.16x = 450.60 × 257.68
  4. Step 4: Simplify right side
    300.16x = 116,110.61
  5. Step 5: Solve for x
    x = 116,110.61/300.16
  6. Step 6: Final answer
    x = 386.83

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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.