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Finding the Fourth Proportional to 296.56, 409.62 and 209.62

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Solution

The fourth proportional to 296.56, 409.62 and 209.62 is: 289.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.56 : 409.62 = 209.62 : x
  2. Step 2: Convert to fraction form
    296.56/409.62 = 209.62/x
  3. Step 3: Cross multiply
    296.56x = 409.62 × 209.62
  4. Step 4: Simplify right side
    296.56x = 85,864.54
  5. Step 5: Solve for x
    x = 85,864.54/296.56
  6. Step 6: Final answer
    x = 289.54

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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.