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Finding the Fourth Proportional to 140.58, 209.88 and 126.09

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Solution

The fourth proportional to 140.58, 209.88 and 126.09 is: 188.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.58 : 209.88 = 126.09 : x
  2. Step 2: Convert to fraction form
    140.58/209.88 = 126.09/x
  3. Step 3: Cross multiply
    140.58x = 209.88 × 126.09
  4. Step 4: Simplify right side
    140.58x = 26,463.77
  5. Step 5: Solve for x
    x = 26,463.77/140.58
  6. Step 6: Final answer
    x = 188.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.