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Finding the Fourth Proportional to 140.04, 208.91 and 126.98

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Solution

The fourth proportional to 140.04, 208.91 and 126.98 is: 189.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.04 : 208.91 = 126.98 : x
  2. Step 2: Convert to fraction form
    140.04/208.91 = 126.98/x
  3. Step 3: Cross multiply
    140.04x = 208.91 × 126.98
  4. Step 4: Simplify right side
    140.04x = 26,527.45
  5. Step 5: Solve for x
    x = 26,527.45/140.04
  6. Step 6: Final answer
    x = 189.43

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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.