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Finding the Fourth Proportional to 628.12, 942.24 and 262.88

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Solution

The fourth proportional to 628.12, 942.24 and 262.88 is: 394.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.12 : 942.24 = 262.88 : x
  2. Step 2: Convert to fraction form
    628.12/942.24 = 262.88/x
  3. Step 3: Cross multiply
    628.12x = 942.24 × 262.88
  4. Step 4: Simplify right side
    628.12x = 247,696.05
  5. Step 5: Solve for x
    x = 247,696.05/628.12
  6. Step 6: Final answer
    x = 394.35

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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.