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Finding the Fourth Proportional to 494.92, 741.90 and 206.56

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Solution

The fourth proportional to 494.92, 741.90 and 206.56 is: 309.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.92 : 741.90 = 206.56 : x
  2. Step 2: Convert to fraction form
    494.92/741.90 = 206.56/x
  3. Step 3: Cross multiply
    494.92x = 741.90 × 206.56
  4. Step 4: Simplify right side
    494.92x = 153,246.86
  5. Step 5: Solve for x
    x = 153,246.86/494.92
  6. Step 6: Final answer
    x = 309.64

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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.