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Finding the Fourth Proportional to 494.08, 681.89 and 297.55

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Solution

The fourth proportional to 494.08, 681.89 and 297.55 is: 410.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.08 : 681.89 = 297.55 : x
  2. Step 2: Convert to fraction form
    494.08/681.89 = 297.55/x
  3. Step 3: Cross multiply
    494.08x = 681.89 × 297.55
  4. Step 4: Simplify right side
    494.08x = 202,896.37
  5. Step 5: Solve for x
    x = 202,896.37/494.08
  6. Step 6: Final answer
    x = 410.65

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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.