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Finding the Fourth Proportional to 542.26, 812.36 and 268.03

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Solution

The fourth proportional to 542.26, 812.36 and 268.03 is: 401.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.26 : 812.36 = 268.03 : x
  2. Step 2: Convert to fraction form
    542.26/812.36 = 268.03/x
  3. Step 3: Cross multiply
    542.26x = 812.36 × 268.03
  4. Step 4: Simplify right side
    542.26x = 217,736.85
  5. Step 5: Solve for x
    x = 217,736.85/542.26
  6. Step 6: Final answer
    x = 401.54

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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.