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Finding the Fourth Proportional to 475.88, 656.64 and 336.42

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Solution

The fourth proportional to 475.88, 656.64 and 336.42 is: 464.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.88 : 656.64 = 336.42 : x
  2. Step 2: Convert to fraction form
    475.88/656.64 = 336.42/x
  3. Step 3: Cross multiply
    475.88x = 656.64 × 336.42
  4. Step 4: Simplify right side
    475.88x = 220,906.83
  5. Step 5: Solve for x
    x = 220,906.83/475.88
  6. Step 6: Final answer
    x = 464.21

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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.