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Finding the Fourth Proportional to 412.22, 568.96 and 256.88

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Solution

The fourth proportional to 412.22, 568.96 and 256.88 is: 354.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.22 : 568.96 = 256.88 : x
  2. Step 2: Convert to fraction form
    412.22/568.96 = 256.88/x
  3. Step 3: Cross multiply
    412.22x = 568.96 × 256.88
  4. Step 4: Simplify right side
    412.22x = 146,150.96
  5. Step 5: Solve for x
    x = 146,150.96/412.22
  6. Step 6: Final answer
    x = 354.55

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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.