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Finding the Fourth Proportional to 493.29, 738.92 and 286.94

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Solution

The fourth proportional to 493.29, 738.92 and 286.94 is: 429.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.29 : 738.92 = 286.94 : x
  2. Step 2: Convert to fraction form
    493.29/738.92 = 286.94/x
  3. Step 3: Cross multiply
    493.29x = 738.92 × 286.94
  4. Step 4: Simplify right side
    493.29x = 212,028.27
  5. Step 5: Solve for x
    x = 212,028.27/493.29
  6. Step 6: Final answer
    x = 429.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.