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Finding the Fourth Proportional to 628.87, 942.43 and 238.47

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Solution

The fourth proportional to 628.87, 942.43 and 238.47 is: 357.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.87 : 942.43 = 238.47 : x
  2. Step 2: Convert to fraction form
    628.87/942.43 = 238.47/x
  3. Step 3: Cross multiply
    628.87x = 942.43 × 238.47
  4. Step 4: Simplify right side
    628.87x = 224,741.28
  5. Step 5: Solve for x
    x = 224,741.28/628.87
  6. Step 6: Final answer
    x = 357.37

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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.