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Finding the Fourth Proportional to 628.45, 942.67 and 243.43

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Solution

The fourth proportional to 628.45, 942.67 and 243.43 is: 365.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.45 : 942.67 = 243.43 : x
  2. Step 2: Convert to fraction form
    628.45/942.67 = 243.43/x
  3. Step 3: Cross multiply
    628.45x = 942.67 × 243.43
  4. Step 4: Simplify right side
    628.45x = 229,474.16
  5. Step 5: Solve for x
    x = 229,474.16/628.45
  6. Step 6: Final answer
    x = 365.14

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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.