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Finding the Fourth Proportional to 207.36, 310.80 and 126.26

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Solution

The fourth proportional to 207.36, 310.80 and 126.26 is: 189.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.36 : 310.80 = 126.26 : x
  2. Step 2: Convert to fraction form
    207.36/310.80 = 126.26/x
  3. Step 3: Cross multiply
    207.36x = 310.80 × 126.26
  4. Step 4: Simplify right side
    207.36x = 39,241.61
  5. Step 5: Solve for x
    x = 39,241.61/207.36
  6. Step 6: Final answer
    x = 189.24

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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.