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Finding the Fourth Proportional to 297.24, 409.80 and 272.64

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Solution

The fourth proportional to 297.24, 409.80 and 272.64 is: 375.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.24 : 409.80 = 272.64 : x
  2. Step 2: Convert to fraction form
    297.24/409.80 = 272.64/x
  3. Step 3: Cross multiply
    297.24x = 409.80 × 272.64
  4. Step 4: Simplify right side
    297.24x = 111,727.87
  5. Step 5: Solve for x
    x = 111,727.87/297.24
  6. Step 6: Final answer
    x = 375.88

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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.