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Finding the Fourth Proportional to 475.31, 656.12 and 309.66

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Solution

The fourth proportional to 475.31, 656.12 and 309.66 is: 427.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.31 : 656.12 = 309.66 : x
  2. Step 2: Convert to fraction form
    475.31/656.12 = 309.66/x
  3. Step 3: Cross multiply
    475.31x = 656.12 × 309.66
  4. Step 4: Simplify right side
    475.31x = 203,172.57
  5. Step 5: Solve for x
    x = 203,172.57/475.31
  6. Step 6: Final answer
    x = 427.46

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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.