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Finding the Fourth Proportional to 493.80, 681.68 and 336.52

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Solution

The fourth proportional to 493.80, 681.68 and 336.52 is: 464.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.80 : 681.68 = 336.52 : x
  2. Step 2: Convert to fraction form
    493.80/681.68 = 336.52/x
  3. Step 3: Cross multiply
    493.80x = 681.68 × 336.52
  4. Step 4: Simplify right side
    493.80x = 229,398.95
  5. Step 5: Solve for x
    x = 229,398.95/493.80
  6. Step 6: Final answer
    x = 464.56

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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.