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Finding the Fourth Proportional to 207.28, 308.30 and 206.56

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Solution

The fourth proportional to 207.28, 308.30 and 206.56 is: 307.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.28 : 308.30 = 206.56 : x
  2. Step 2: Convert to fraction form
    207.28/308.30 = 206.56/x
  3. Step 3: Cross multiply
    207.28x = 308.30 × 206.56
  4. Step 4: Simplify right side
    207.28x = 63,682.45
  5. Step 5: Solve for x
    x = 63,682.45/207.28
  6. Step 6: Final answer
    x = 307.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.