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Finding the Fourth Proportional to 494.88, 742.20 and 206.28

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Solution

The fourth proportional to 494.88, 742.20 and 206.28 is: 309.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.88 : 742.20 = 206.28 : x
  2. Step 2: Convert to fraction form
    494.88/742.20 = 206.28/x
  3. Step 3: Cross multiply
    494.88x = 742.20 × 206.28
  4. Step 4: Simplify right side
    494.88x = 153,101.02
  5. Step 5: Solve for x
    x = 153,101.02/494.88
  6. Step 6: Final answer
    x = 309.37

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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.