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Finding the Fourth Proportional to 207.94, 287.04 and 149.80

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Solution

The fourth proportional to 207.94, 287.04 and 149.80 is: 206.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.94 : 287.04 = 149.80 : x
  2. Step 2: Convert to fraction form
    207.94/287.04 = 149.80/x
  3. Step 3: Cross multiply
    207.94x = 287.04 × 149.80
  4. Step 4: Simplify right side
    207.94x = 42,998.59
  5. Step 5: Solve for x
    x = 42,998.59/207.94
  6. Step 6: Final answer
    x = 206.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.