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Finding the Fourth Proportional to 429.64, 644.07 and 198.56

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Solution

The fourth proportional to 429.64, 644.07 and 198.56 is: 297.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.64 : 644.07 = 198.56 : x
  2. Step 2: Convert to fraction form
    429.64/644.07 = 198.56/x
  3. Step 3: Cross multiply
    429.64x = 644.07 × 198.56
  4. Step 4: Simplify right side
    429.64x = 127,886.54
  5. Step 5: Solve for x
    x = 127,886.54/429.64
  6. Step 6: Final answer
    x = 297.66

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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.