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Finding the Fourth Proportional to 495.16, 743.28 and 206.80

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Solution

The fourth proportional to 495.16, 743.28 and 206.80 is: 310.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.16 : 743.28 = 206.80 : x
  2. Step 2: Convert to fraction form
    495.16/743.28 = 206.80/x
  3. Step 3: Cross multiply
    495.16x = 743.28 × 206.80
  4. Step 4: Simplify right side
    495.16x = 153,705.55
  5. Step 5: Solve for x
    x = 153,705.55/495.16
  6. Step 6: Final answer
    x = 310.42

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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.