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Finding the Fourth Proportional to 207.30, 283.58 and 206.48

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Solution

The fourth proportional to 207.30, 283.58 and 206.48 is: 282.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.30 : 283.58 = 206.48 : x
  2. Step 2: Convert to fraction form
    207.30/283.58 = 206.48/x
  3. Step 3: Cross multiply
    207.30x = 283.58 × 206.48
  4. Step 4: Simplify right side
    207.30x = 58,553.60
  5. Step 5: Solve for x
    x = 58,553.60/207.30
  6. Step 6: Final answer
    x = 282.46

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.