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Finding the Fourth Proportional to 429.80, 644.49 and 293.65

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Solution

The fourth proportional to 429.80, 644.49 and 293.65 is: 440.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.80 : 644.49 = 293.65 : x
  2. Step 2: Convert to fraction form
    429.80/644.49 = 293.65/x
  3. Step 3: Cross multiply
    429.80x = 644.49 × 293.65
  4. Step 4: Simplify right side
    429.80x = 189,252.88
  5. Step 5: Solve for x
    x = 189,252.88/429.80
  6. Step 6: Final answer
    x = 440.33

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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.