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Finding the Fourth Proportional to 429.54, 644.29 and 212.95

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Solution

The fourth proportional to 429.54, 644.29 and 212.95 is: 319.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.54 : 644.29 = 212.95 : x
  2. Step 2: Convert to fraction form
    429.54/644.29 = 212.95/x
  3. Step 3: Cross multiply
    429.54x = 644.29 × 212.95
  4. Step 4: Simplify right side
    429.54x = 137,201.56
  5. Step 5: Solve for x
    x = 137,201.56/429.54
  6. Step 6: Final answer
    x = 319.42

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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.