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Finding the Fourth Proportional to 429.93, 645.03 and 213.57

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Solution

The fourth proportional to 429.93, 645.03 and 213.57 is: 320.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.93 : 645.03 = 213.57 : x
  2. Step 2: Convert to fraction form
    429.93/645.03 = 213.57/x
  3. Step 3: Cross multiply
    429.93x = 645.03 × 213.57
  4. Step 4: Simplify right side
    429.93x = 137,759.06
  5. Step 5: Solve for x
    x = 137,759.06/429.93
  6. Step 6: Final answer
    x = 320.42

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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.