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Finding the Fourth Proportional to 412.94, 570.11 and 255.79

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Solution

The fourth proportional to 412.94, 570.11 and 255.79 is: 353.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.94 : 570.11 = 255.79 : x
  2. Step 2: Convert to fraction form
    412.94/570.11 = 255.79/x
  3. Step 3: Cross multiply
    412.94x = 570.11 × 255.79
  4. Step 4: Simplify right side
    412.94x = 145,825.14
  5. Step 5: Solve for x
    x = 145,825.14/412.94
  6. Step 6: Final answer
    x = 353.14

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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.