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Finding the Fourth Proportional to 542.26, 748.36 and 309.42

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Solution

The fourth proportional to 542.26, 748.36 and 309.42 is: 427.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.26 : 748.36 = 309.42 : x
  2. Step 2: Convert to fraction form
    542.26/748.36 = 309.42/x
  3. Step 3: Cross multiply
    542.26x = 748.36 × 309.42
  4. Step 4: Simplify right side
    542.26x = 231,557.55
  5. Step 5: Solve for x
    x = 231,557.55/542.26
  6. Step 6: Final answer
    x = 427.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.