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Finding the Fourth Proportional to 207.80, 286.77 and 124.88

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Solution

The fourth proportional to 207.80, 286.77 and 124.88 is: 172.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.80 : 286.77 = 124.88 : x
  2. Step 2: Convert to fraction form
    207.80/286.77 = 124.88/x
  3. Step 3: Cross multiply
    207.80x = 286.77 × 124.88
  4. Step 4: Simplify right side
    207.80x = 35,811.84
  5. Step 5: Solve for x
    x = 35,811.84/207.80
  6. Step 6: Final answer
    x = 172.34

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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.