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Finding the Fourth Proportional to 207.77, 310.98 and 126.23

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Solution

The fourth proportional to 207.77, 310.98 and 126.23 is: 188.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.77 : 310.98 = 126.23 : x
  2. Step 2: Convert to fraction form
    207.77/310.98 = 126.23/x
  3. Step 3: Cross multiply
    207.77x = 310.98 × 126.23
  4. Step 4: Simplify right side
    207.77x = 39,255.01
  5. Step 5: Solve for x
    x = 39,255.01/207.77
  6. Step 6: Final answer
    x = 188.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.