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Finding the Fourth Proportional to 207.22, 310.81 and 125.89

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Solution

The fourth proportional to 207.22, 310.81 and 125.89 is: 188.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.22 : 310.81 = 125.89 : x
  2. Step 2: Convert to fraction form
    207.22/310.81 = 125.89/x
  3. Step 3: Cross multiply
    207.22x = 310.81 × 125.89
  4. Step 4: Simplify right side
    207.22x = 39,126.32
  5. Step 5: Solve for x
    x = 39,126.32/207.22
  6. Step 6: Final answer
    x = 188.82

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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.