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Finding the Fourth Proportional to 494.96, 682.80 and 355.10

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Solution

The fourth proportional to 494.96, 682.80 and 355.10 is: 489.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.96 : 682.80 = 355.10 : x
  2. Step 2: Convert to fraction form
    494.96/682.80 = 355.10/x
  3. Step 3: Cross multiply
    494.96x = 682.80 × 355.10
  4. Step 4: Simplify right side
    494.96x = 242,462.28
  5. Step 5: Solve for x
    x = 242,462.28/494.96
  6. Step 6: Final answer
    x = 489.86

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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.