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Finding the Fourth Proportional to 476.30, 656.60 and 310.46

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Solution

The fourth proportional to 476.30, 656.60 and 310.46 is: 427.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.30 : 656.60 = 310.46 : x
  2. Step 2: Convert to fraction form
    476.30/656.60 = 310.46/x
  3. Step 3: Cross multiply
    476.30x = 656.60 × 310.46
  4. Step 4: Simplify right side
    476.30x = 203,843.20
  5. Step 5: Solve for x
    x = 203,843.20/476.30
  6. Step 6: Final answer
    x = 427.98

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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.