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Finding the Fourth Proportional to 628.10, 942.38 and 303.50

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Solution

The fourth proportional to 628.10, 942.38 and 303.50 is: 455.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.10 : 942.38 = 303.50 : x
  2. Step 2: Convert to fraction form
    628.10/942.38 = 303.50/x
  3. Step 3: Cross multiply
    628.10x = 942.38 × 303.50
  4. Step 4: Simplify right side
    628.10x = 286,012.33
  5. Step 5: Solve for x
    x = 286,012.33/628.10
  6. Step 6: Final answer
    x = 455.36

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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.