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Finding the Fourth Proportional to 412.32, 568.32 and 301.66

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Solution

The fourth proportional to 412.32, 568.32 and 301.66 is: 415.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.32 : 568.32 = 301.66 : x
  2. Step 2: Convert to fraction form
    412.32/568.32 = 301.66/x
  3. Step 3: Cross multiply
    412.32x = 568.32 × 301.66
  4. Step 4: Simplify right side
    412.32x = 171,436.86
  5. Step 5: Solve for x
    x = 171,436.86/412.32
  6. Step 6: Final answer
    x = 415.78

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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.