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Finding the Fourth Proportional to 412.10, 568.45 and 272.22

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Solution

The fourth proportional to 412.10, 568.45 and 272.22 is: 375.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.10 : 568.45 = 272.22 : x
  2. Step 2: Convert to fraction form
    412.10/568.45 = 272.22/x
  3. Step 3: Cross multiply
    412.10x = 568.45 × 272.22
  4. Step 4: Simplify right side
    412.10x = 154,743.46
  5. Step 5: Solve for x
    x = 154,743.46/412.10
  6. Step 6: Final answer
    x = 375.50

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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.