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Finding the Fourth Proportional to 460.91, 636.89 and 343.37

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Solution

The fourth proportional to 460.91, 636.89 and 343.37 is: 474.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.91 : 636.89 = 343.37 : x
  2. Step 2: Convert to fraction form
    460.91/636.89 = 343.37/x
  3. Step 3: Cross multiply
    460.91x = 636.89 × 343.37
  4. Step 4: Simplify right side
    460.91x = 218,688.79
  5. Step 5: Solve for x
    x = 218,688.79/460.91
  6. Step 6: Final answer
    x = 474.47

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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.