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Finding the Fourth Proportional to 429.69, 643.72 and 213.42

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Solution

The fourth proportional to 429.69, 643.72 and 213.42 is: 319.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.69 : 643.72 = 213.42 : x
  2. Step 2: Convert to fraction form
    429.69/643.72 = 213.42/x
  3. Step 3: Cross multiply
    429.69x = 643.72 × 213.42
  4. Step 4: Simplify right side
    429.69x = 137,382.72
  5. Step 5: Solve for x
    x = 137,382.72/429.69
  6. Step 6: Final answer
    x = 319.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.