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Finding the Fourth Proportional to 429.77, 644.15 and 198.34

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Solution

The fourth proportional to 429.77, 644.15 and 198.34 is: 297.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.77 : 644.15 = 198.34 : x
  2. Step 2: Convert to fraction form
    429.77/644.15 = 198.34/x
  3. Step 3: Cross multiply
    429.77x = 644.15 × 198.34
  4. Step 4: Simplify right side
    429.77x = 127,759.60
  5. Step 5: Solve for x
    x = 127,759.60/429.77
  6. Step 6: Final answer
    x = 297.27

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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.