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Finding the Fourth Proportional to 491.92, 678.86 and 292.85

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Solution

The fourth proportional to 491.92, 678.86 and 292.85 is: 404.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.92 : 678.86 = 292.85 : x
  2. Step 2: Convert to fraction form
    491.92/678.86 = 292.85/x
  3. Step 3: Cross multiply
    491.92x = 678.86 × 292.85
  4. Step 4: Simplify right side
    491.92x = 198,806.58
  5. Step 5: Solve for x
    x = 198,806.58/491.92
  6. Step 6: Final answer
    x = 404.15

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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.