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Finding the Fourth Proportional to 291.80, 436.68 and 199.88

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Solution

The fourth proportional to 291.80, 436.68 and 199.88 is: 299.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.80 : 436.68 = 199.88 : x
  2. Step 2: Convert to fraction form
    291.80/436.68 = 199.88/x
  3. Step 3: Cross multiply
    291.80x = 436.68 × 199.88
  4. Step 4: Simplify right side
    291.80x = 87,283.60
  5. Step 5: Solve for x
    x = 87,283.60/291.80
  6. Step 6: Final answer
    x = 299.12

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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.