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Finding the Fourth Proportional to 429.49, 643.71 and 198.06

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Solution

The fourth proportional to 429.49, 643.71 and 198.06 is: 296.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.49 : 643.71 = 198.06 : x
  2. Step 2: Convert to fraction form
    429.49/643.71 = 198.06/x
  3. Step 3: Cross multiply
    429.49x = 643.71 × 198.06
  4. Step 4: Simplify right side
    429.49x = 127,493.20
  5. Step 5: Solve for x
    x = 127,493.20/429.49
  6. Step 6: Final answer
    x = 296.85

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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.