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Finding the Fourth Proportional to 628.22, 942.57 and 238.41

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Solution

The fourth proportional to 628.22, 942.57 and 238.41 is: 357.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.22 : 942.57 = 238.41 : x
  2. Step 2: Convert to fraction form
    628.22/942.57 = 238.41/x
  3. Step 3: Cross multiply
    628.22x = 942.57 × 238.41
  4. Step 4: Simplify right side
    628.22x = 224,718.11
  5. Step 5: Solve for x
    x = 224,718.11/628.22
  6. Step 6: Final answer
    x = 357.70

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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.