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Finding the Fourth Proportional to 412.15, 568.17 and 254.67

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Solution

The fourth proportional to 412.15, 568.17 and 254.67 is: 351.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.15 : 568.17 = 254.67 : x
  2. Step 2: Convert to fraction form
    412.15/568.17 = 254.67/x
  3. Step 3: Cross multiply
    412.15x = 568.17 × 254.67
  4. Step 4: Simplify right side
    412.15x = 144,695.85
  5. Step 5: Solve for x
    x = 144,695.85/412.15
  6. Step 6: Final answer
    x = 351.08

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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.