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Finding the Fourth Proportional to 296.56, 409.16 and 209.04

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Solution

The fourth proportional to 296.56, 409.16 and 209.04 is: 288.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.56 : 409.16 = 209.04 : x
  2. Step 2: Convert to fraction form
    296.56/409.16 = 209.04/x
  3. Step 3: Cross multiply
    296.56x = 409.16 × 209.04
  4. Step 4: Simplify right side
    296.56x = 85,530.81
  5. Step 5: Solve for x
    x = 85,530.81/296.56
  6. Step 6: Final answer
    x = 288.41

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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.