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Finding the Fourth Proportional to 628.73, 942.89 and 238.71

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Solution

The fourth proportional to 628.73, 942.89 and 238.71 is: 357.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.73 : 942.89 = 238.71 : x
  2. Step 2: Convert to fraction form
    628.73/942.89 = 238.71/x
  3. Step 3: Cross multiply
    628.73x = 942.89 × 238.71
  4. Step 4: Simplify right side
    628.73x = 225,079.61
  5. Step 5: Solve for x
    x = 225,079.61/628.73
  6. Step 6: Final answer
    x = 357.99

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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.