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Finding the Fourth Proportional to 493.29, 679.80 and 353.16

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Solution

The fourth proportional to 493.29, 679.80 and 353.16 is: 486.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.29 : 679.80 = 353.16 : x
  2. Step 2: Convert to fraction form
    493.29/679.80 = 353.16/x
  3. Step 3: Cross multiply
    493.29x = 679.80 × 353.16
  4. Step 4: Simplify right side
    493.29x = 240,078.17
  5. Step 5: Solve for x
    x = 240,078.17/493.29
  6. Step 6: Final answer
    x = 486.69

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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.