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Finding the Fourth Proportional to 628.29, 942.26 and 263.02

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Solution

The fourth proportional to 628.29, 942.26 and 263.02 is: 394.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.29 : 942.26 = 263.02 : x
  2. Step 2: Convert to fraction form
    628.29/942.26 = 263.02/x
  3. Step 3: Cross multiply
    628.29x = 942.26 × 263.02
  4. Step 4: Simplify right side
    628.29x = 247,827.20
  5. Step 5: Solve for x
    x = 247,827.20/628.29
  6. Step 6: Final answer
    x = 394.45

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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.