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Finding the Fourth Proportional to 290.00, 434.72 and 198.74

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Solution

The fourth proportional to 290.00, 434.72 and 198.74 is: 297.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.00 : 434.72 = 198.74 : x
  2. Step 2: Convert to fraction form
    290.00/434.72 = 198.74/x
  3. Step 3: Cross multiply
    290.00x = 434.72 × 198.74
  4. Step 4: Simplify right side
    290.00x = 86,394.58
  5. Step 5: Solve for x
    x = 86,394.58/290.00
  6. Step 6: Final answer
    x = 297.92

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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.