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Finding the Fourth Proportional to 429.23, 642.82 and 341.96

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Solution

The fourth proportional to 429.23, 642.82 and 341.96 is: 512.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.23 : 642.82 = 341.96 : x
  2. Step 2: Convert to fraction form
    429.23/642.82 = 341.96/x
  3. Step 3: Cross multiply
    429.23x = 642.82 × 341.96
  4. Step 4: Simplify right side
    429.23x = 219,818.73
  5. Step 5: Solve for x
    x = 219,818.73/429.23
  6. Step 6: Final answer
    x = 512.12

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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.