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Finding the Fourth Proportional to 412.40, 568.85 and 255.08

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Solution

The fourth proportional to 412.40, 568.85 and 255.08 is: 351.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.40 : 568.85 = 255.08 : x
  2. Step 2: Convert to fraction form
    412.40/568.85 = 255.08/x
  3. Step 3: Cross multiply
    412.40x = 568.85 × 255.08
  4. Step 4: Simplify right side
    412.40x = 145,102.26
  5. Step 5: Solve for x
    x = 145,102.26/412.40
  6. Step 6: Final answer
    x = 351.85

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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.