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Finding the Fourth Proportional to 475.64, 656.33 and 309.59

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Solution

The fourth proportional to 475.64, 656.33 and 309.59 is: 427.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.64 : 656.33 = 309.59 : x
  2. Step 2: Convert to fraction form
    475.64/656.33 = 309.59/x
  3. Step 3: Cross multiply
    475.64x = 656.33 × 309.59
  4. Step 4: Simplify right side
    475.64x = 203,188.38
  5. Step 5: Solve for x
    x = 203,188.38/475.64
  6. Step 6: Final answer
    x = 427.19

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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.