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Finding the Fourth Proportional to 412.30, 568.74 and 257.14

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Solution

The fourth proportional to 412.30, 568.74 and 257.14 is: 354.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.30 : 568.74 = 257.14 : x
  2. Step 2: Convert to fraction form
    412.30/568.74 = 257.14/x
  3. Step 3: Cross multiply
    412.30x = 568.74 × 257.14
  4. Step 4: Simplify right side
    412.30x = 146,245.80
  5. Step 5: Solve for x
    x = 146,245.80/412.30
  6. Step 6: Final answer
    x = 354.71

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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.