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Finding the Fourth Proportional to 353.80, 530.22 and 199.65

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Solution

The fourth proportional to 353.80, 530.22 and 199.65 is: 299.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.80 : 530.22 = 199.65 : x
  2. Step 2: Convert to fraction form
    353.80/530.22 = 199.65/x
  3. Step 3: Cross multiply
    353.80x = 530.22 × 199.65
  4. Step 4: Simplify right side
    353.80x = 105,858.42
  5. Step 5: Solve for x
    x = 105,858.42/353.80
  6. Step 6: Final answer
    x = 299.20

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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.