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Finding the Fourth Proportional to 296.31, 409.28 and 209.37

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Solution

The fourth proportional to 296.31, 409.28 and 209.37 is: 289.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.31 : 409.28 = 209.37 : x
  2. Step 2: Convert to fraction form
    296.31/409.28 = 209.37/x
  3. Step 3: Cross multiply
    296.31x = 409.28 × 209.37
  4. Step 4: Simplify right side
    296.31x = 85,689.91
  5. Step 5: Solve for x
    x = 85,689.91/296.31
  6. Step 6: Final answer
    x = 289.19

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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.