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Finding the Fourth Proportional to 207.30, 283.51 and 201.90

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Solution

The fourth proportional to 207.30, 283.51 and 201.90 is: 276.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.30 : 283.51 = 201.90 : x
  2. Step 2: Convert to fraction form
    207.30/283.51 = 201.90/x
  3. Step 3: Cross multiply
    207.30x = 283.51 × 201.90
  4. Step 4: Simplify right side
    207.30x = 57,240.67
  5. Step 5: Solve for x
    x = 57,240.67/207.30
  6. Step 6: Final answer
    x = 276.12

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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.