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Finding the Fourth Proportional to 429.69, 644.54 and 234.89

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Solution

The fourth proportional to 429.69, 644.54 and 234.89 is: 352.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.69 : 644.54 = 234.89 : x
  2. Step 2: Convert to fraction form
    429.69/644.54 = 234.89/x
  3. Step 3: Cross multiply
    429.69x = 644.54 × 234.89
  4. Step 4: Simplify right side
    429.69x = 151,391.60
  5. Step 5: Solve for x
    x = 151,391.60/429.69
  6. Step 6: Final answer
    x = 352.33

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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.