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Finding the Fourth Proportional to 628.18, 942.49 and 281.76

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Solution

The fourth proportional to 628.18, 942.49 and 281.76 is: 422.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.18 : 942.49 = 281.76 : x
  2. Step 2: Convert to fraction form
    628.18/942.49 = 281.76/x
  3. Step 3: Cross multiply
    628.18x = 942.49 × 281.76
  4. Step 4: Simplify right side
    628.18x = 265,555.98
  5. Step 5: Solve for x
    x = 265,555.98/628.18
  6. Step 6: Final answer
    x = 422.74

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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.