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Finding the Fourth Proportional to 475.12, 655.59 and 300.43

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Solution

The fourth proportional to 475.12, 655.59 and 300.43 is: 414.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.12 : 655.59 = 300.43 : x
  2. Step 2: Convert to fraction form
    475.12/655.59 = 300.43/x
  3. Step 3: Cross multiply
    475.12x = 655.59 × 300.43
  4. Step 4: Simplify right side
    475.12x = 196,958.90
  5. Step 5: Solve for x
    x = 196,958.90/475.12
  6. Step 6: Final answer
    x = 414.55

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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.