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Finding the Fourth Proportional to 296.61, 445.12 and 199.29

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Solution

The fourth proportional to 296.61, 445.12 and 199.29 is: 299.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.61 : 445.12 = 199.29 : x
  2. Step 2: Convert to fraction form
    296.61/445.12 = 199.29/x
  3. Step 3: Cross multiply
    296.61x = 445.12 × 199.29
  4. Step 4: Simplify right side
    296.61x = 88,707.96
  5. Step 5: Solve for x
    x = 88,707.96/296.61
  6. Step 6: Final answer
    x = 299.07

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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.