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Finding the Fourth Proportional to 412.19, 568.47 and 272.31

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Solution

The fourth proportional to 412.19, 568.47 and 272.31 is: 375.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.19 : 568.47 = 272.31 : x
  2. Step 2: Convert to fraction form
    412.19/568.47 = 272.31/x
  3. Step 3: Cross multiply
    412.19x = 568.47 × 272.31
  4. Step 4: Simplify right side
    412.19x = 154,800.62
  5. Step 5: Solve for x
    x = 154,800.62/412.19
  6. Step 6: Final answer
    x = 375.56

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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.