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Finding the Fourth Proportional to 292.91, 403.56 and 199.62

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Solution

The fourth proportional to 292.91, 403.56 and 199.62 is: 275.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.91 : 403.56 = 199.62 : x
  2. Step 2: Convert to fraction form
    292.91/403.56 = 199.62/x
  3. Step 3: Cross multiply
    292.91x = 403.56 × 199.62
  4. Step 4: Simplify right side
    292.91x = 80,558.65
  5. Step 5: Solve for x
    x = 80,558.65/292.91
  6. Step 6: Final answer
    x = 275.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.