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Finding the Fourth Proportional to 356.24, 493.92 and 336.80

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Solution

The fourth proportional to 356.24, 493.92 and 336.80 is: 466.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.24 : 493.92 = 336.80 : x
  2. Step 2: Convert to fraction form
    356.24/493.92 = 336.80/x
  3. Step 3: Cross multiply
    356.24x = 493.92 × 336.80
  4. Step 4: Simplify right side
    356.24x = 166,352.26
  5. Step 5: Solve for x
    x = 166,352.26/356.24
  6. Step 6: Final answer
    x = 466.97

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.