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Finding the Fourth Proportional to 412, 568.16 and 272.08

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Solution

The fourth proportional to 412, 568.16 and 272.08 is: 375.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    412 : 568.16 = 272.08 : x
  2. Step 2: Convert to fraction form
    412/568.16 = 272.08/x
  3. Step 3: Cross multiply
    412x = 568.16 × 272.08
  4. Step 4: Simplify right side
    412x = 154,584.97
  5. Step 5: Solve for x
    x = 154,584.97/412
  6. Step 6: Final answer
    x = 375.21

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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.