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Finding the Fourth Proportional to 429.96, 593.36 and 255.28

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Solution

The fourth proportional to 429.96, 593.36 and 255.28 is: 352.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.96 : 593.36 = 255.28 : x
  2. Step 2: Convert to fraction form
    429.96/593.36 = 255.28/x
  3. Step 3: Cross multiply
    429.96x = 593.36 × 255.28
  4. Step 4: Simplify right side
    429.96x = 151,472.94
  5. Step 5: Solve for x
    x = 151,472.94/429.96
  6. Step 6: Final answer
    x = 352.30

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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.