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Finding the Fourth Proportional to 412.11, 567.79 and 271.98

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Solution

The fourth proportional to 412.11, 567.79 and 271.98 is: 374.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.11 : 567.79 = 271.98 : x
  2. Step 2: Convert to fraction form
    412.11/567.79 = 271.98/x
  3. Step 3: Cross multiply
    412.11x = 567.79 × 271.98
  4. Step 4: Simplify right side
    412.11x = 154,427.52
  5. Step 5: Solve for x
    x = 154,427.52/412.11
  6. Step 6: Final answer
    x = 374.72

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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.