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Finding the Fourth Proportional to 429.79, 593.12 and 233.30

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Solution

The fourth proportional to 429.79, 593.12 and 233.30 is: 321.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.79 : 593.12 = 233.30 : x
  2. Step 2: Convert to fraction form
    429.79/593.12 = 233.30/x
  3. Step 3: Cross multiply
    429.79x = 593.12 × 233.30
  4. Step 4: Simplify right side
    429.79x = 138,375.21
  5. Step 5: Solve for x
    x = 138,375.21/429.79
  6. Step 6: Final answer
    x = 321.96

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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.