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Finding the Fourth Proportional to 297.24, 409.50 and 209.64

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Solution

The fourth proportional to 297.24, 409.50 and 209.64 is: 288.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.24 : 409.50 = 209.64 : x
  2. Step 2: Convert to fraction form
    297.24/409.50 = 209.64/x
  3. Step 3: Cross multiply
    297.24x = 409.50 × 209.64
  4. Step 4: Simplify right side
    297.24x = 85,847.58
  5. Step 5: Solve for x
    x = 85,847.58/297.24
  6. Step 6: Final answer
    x = 288.82

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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.