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Finding the Fourth Proportional to 296.62, 445.95 and 205.72

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Solution

The fourth proportional to 296.62, 445.95 and 205.72 is: 309.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.62 : 445.95 = 205.72 : x
  2. Step 2: Convert to fraction form
    296.62/445.95 = 205.72/x
  3. Step 3: Cross multiply
    296.62x = 445.95 × 205.72
  4. Step 4: Simplify right side
    296.62x = 91,739.72
  5. Step 5: Solve for x
    x = 91,739.72/296.62
  6. Step 6: Final answer
    x = 309.29

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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.