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Finding the Fourth Proportional to 140.97, 210.21 and 137.87

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Solution

The fourth proportional to 140.97, 210.21 and 137.87 is: 205.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.97 : 210.21 = 137.87 : x
  2. Step 2: Convert to fraction form
    140.97/210.21 = 137.87/x
  3. Step 3: Cross multiply
    140.97x = 210.21 × 137.87
  4. Step 4: Simplify right side
    140.97x = 28,980.60
  5. Step 5: Solve for x
    x = 28,980.60/140.97
  6. Step 6: Final answer
    x = 205.58

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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.