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Finding the Fourth Proportional to 300.53, 450.77 and 105.49

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Solution

The fourth proportional to 300.53, 450.77 and 105.49 is: 158.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.53 : 450.77 = 105.49 : x
  2. Step 2: Convert to fraction form
    300.53/450.77 = 105.49/x
  3. Step 3: Cross multiply
    300.53x = 450.77 × 105.49
  4. Step 4: Simplify right side
    300.53x = 47,550.86
  5. Step 5: Solve for x
    x = 47,550.86/300.53
  6. Step 6: Final answer
    x = 158.22

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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.