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Finding the Fourth Proportional to 412.41, 568.16 and 287.85

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Solution

The fourth proportional to 412.41, 568.16 and 287.85 is: 396.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.41 : 568.16 = 287.85 : x
  2. Step 2: Convert to fraction form
    412.41/568.16 = 287.85/x
  3. Step 3: Cross multiply
    412.41x = 568.16 × 287.85
  4. Step 4: Simplify right side
    412.41x = 163,543.42
  5. Step 5: Solve for x
    x = 163,543.42/412.41
  6. Step 6: Final answer
    x = 396.56

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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.