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Finding the Fourth Proportional to 290.11, 434.98 and 198.53

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Solution

The fourth proportional to 290.11, 434.98 and 198.53 is: 297.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.11 : 434.98 = 198.53 : x
  2. Step 2: Convert to fraction form
    290.11/434.98 = 198.53/x
  3. Step 3: Cross multiply
    290.11x = 434.98 × 198.53
  4. Step 4: Simplify right side
    290.11x = 86,356.58
  5. Step 5: Solve for x
    x = 86,356.58/290.11
  6. Step 6: Final answer
    x = 297.67

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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.