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Finding the Fourth Proportional to 412.13, 567.11 and 313.49

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Solution

The fourth proportional to 412.13, 567.11 and 313.49 is: 431.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.13 : 567.11 = 313.49 : x
  2. Step 2: Convert to fraction form
    412.13/567.11 = 313.49/x
  3. Step 3: Cross multiply
    412.13x = 567.11 × 313.49
  4. Step 4: Simplify right side
    412.13x = 177,778.91
  5. Step 5: Solve for x
    x = 177,778.91/412.13
  6. Step 6: Final answer
    x = 431.37

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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.