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Finding the Fourth Proportional to 553.09, 829.64 and 168.34

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Solution

The fourth proportional to 553.09, 829.64 and 168.34 is: 252.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.09 : 829.64 = 168.34 : x
  2. Step 2: Convert to fraction form
    553.09/829.64 = 168.34/x
  3. Step 3: Cross multiply
    553.09x = 829.64 × 168.34
  4. Step 4: Simplify right side
    553.09x = 139,661.60
  5. Step 5: Solve for x
    x = 139,661.60/553.09
  6. Step 6: Final answer
    x = 252.51

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Similar ratio
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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.