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Finding the Fourth Proportional to 495.14, 742.84 and 206.78

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Solution

The fourth proportional to 495.14, 742.84 and 206.78 is: 310.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.14 : 742.84 = 206.78 : x
  2. Step 2: Convert to fraction form
    495.14/742.84 = 206.78/x
  3. Step 3: Cross multiply
    495.14x = 742.84 × 206.78
  4. Step 4: Simplify right side
    495.14x = 153,600.22
  5. Step 5: Solve for x
    x = 153,600.22/495.14
  6. Step 6: Final answer
    x = 310.22

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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.