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Finding the Fourth Proportional to 476.23, 656.99 and 310.47

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Solution

The fourth proportional to 476.23, 656.99 and 310.47 is: 428.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.23 : 656.99 = 310.47 : x
  2. Step 2: Convert to fraction form
    476.23/656.99 = 310.47/x
  3. Step 3: Cross multiply
    476.23x = 656.99 × 310.47
  4. Step 4: Simplify right side
    476.23x = 203,975.69
  5. Step 5: Solve for x
    x = 203,975.69/476.23
  6. Step 6: Final answer
    x = 428.31

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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.