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Finding the Fourth Proportional to 412.28, 568.76 and 312.96

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Solution

The fourth proportional to 412.28, 568.76 and 312.96 is: 431.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.28 : 568.76 = 312.96 : x
  2. Step 2: Convert to fraction form
    412.28/568.76 = 312.96/x
  3. Step 3: Cross multiply
    412.28x = 568.76 × 312.96
  4. Step 4: Simplify right side
    412.28x = 177,999.13
  5. Step 5: Solve for x
    x = 177,999.13/412.28
  6. Step 6: Final answer
    x = 431.74

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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.