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Finding the Fourth Proportional to 493.44, 680.96 and 369.12

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Solution

The fourth proportional to 493.44, 680.96 and 369.12 is: 509.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.44 : 680.96 = 369.12 : x
  2. Step 2: Convert to fraction form
    493.44/680.96 = 369.12/x
  3. Step 3: Cross multiply
    493.44x = 680.96 × 369.12
  4. Step 4: Simplify right side
    493.44x = 251,355.96
  5. Step 5: Solve for x
    x = 251,355.96/493.44
  6. Step 6: Final answer
    x = 509.40

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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.