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Finding the Fourth Proportional to 495.28, 742.02 and 206.20

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Solution

The fourth proportional to 495.28, 742.02 and 206.20 is: 308.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.28 : 742.02 = 206.20 : x
  2. Step 2: Convert to fraction form
    495.28/742.02 = 206.20/x
  3. Step 3: Cross multiply
    495.28x = 742.02 × 206.20
  4. Step 4: Simplify right side
    495.28x = 153,004.52
  5. Step 5: Solve for x
    x = 153,004.52/495.28
  6. Step 6: Final answer
    x = 308.93

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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.