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Finding the Fourth Proportional to 207.40, 310.92 and 138.92

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Solution

The fourth proportional to 207.40, 310.92 and 138.92 is: 208.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.40 : 310.92 = 138.92 : x
  2. Step 2: Convert to fraction form
    207.40/310.92 = 138.92/x
  3. Step 3: Cross multiply
    207.40x = 310.92 × 138.92
  4. Step 4: Simplify right side
    207.40x = 43,193.01
  5. Step 5: Solve for x
    x = 43,193.01/207.40
  6. Step 6: Final answer
    x = 208.26

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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.