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Finding the Fourth Proportional to 628.56, 942.77 and 166.38

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Solution

The fourth proportional to 628.56, 942.77 and 166.38 is: 249.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.56 : 942.77 = 166.38 : x
  2. Step 2: Convert to fraction form
    628.56/942.77 = 166.38/x
  3. Step 3: Cross multiply
    628.56x = 942.77 × 166.38
  4. Step 4: Simplify right side
    628.56x = 156,852.53
  5. Step 5: Solve for x
    x = 156,852.53/628.56
  6. Step 6: Final answer
    x = 249.54

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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.