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Finding the Fourth Proportional to 475.20, 656.10 and 309.84

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Solution

The fourth proportional to 475.20, 656.10 and 309.84 is: 427.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.20 : 656.10 = 309.84 : x
  2. Step 2: Convert to fraction form
    475.20/656.10 = 309.84/x
  3. Step 3: Cross multiply
    475.20x = 656.10 × 309.84
  4. Step 4: Simplify right side
    475.20x = 203,286.02
  5. Step 5: Solve for x
    x = 203,286.02/475.20
  6. Step 6: Final answer
    x = 427.79

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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.