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Finding the Fourth Proportional to 429.09, 644.01 and 246.61

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Solution

The fourth proportional to 429.09, 644.01 and 246.61 is: 370.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.09 : 644.01 = 246.61 : x
  2. Step 2: Convert to fraction form
    429.09/644.01 = 246.61/x
  3. Step 3: Cross multiply
    429.09x = 644.01 × 246.61
  4. Step 4: Simplify right side
    429.09x = 158,819.31
  5. Step 5: Solve for x
    x = 158,819.31/429.09
  6. Step 6: Final answer
    x = 370.13

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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.