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Finding the Fourth Proportional to 412.12, 568.38 and 346.78

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Solution

The fourth proportional to 412.12, 568.38 and 346.78 is: 478.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.12 : 568.38 = 346.78 : x
  2. Step 2: Convert to fraction form
    412.12/568.38 = 346.78/x
  3. Step 3: Cross multiply
    412.12x = 568.38 × 346.78
  4. Step 4: Simplify right side
    412.12x = 197,102.82
  5. Step 5: Solve for x
    x = 197,102.82/412.12
  6. Step 6: Final answer
    x = 478.27

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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.