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Finding the Fourth Proportional to 140.90, 210.24 and 137.80

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Solution

The fourth proportional to 140.90, 210.24 and 137.80 is: 205.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.90 : 210.24 = 137.80 : x
  2. Step 2: Convert to fraction form
    140.90/210.24 = 137.80/x
  3. Step 3: Cross multiply
    140.90x = 210.24 × 137.80
  4. Step 4: Simplify right side
    140.90x = 28,971.07
  5. Step 5: Solve for x
    x = 28,971.07/140.90
  6. Step 6: Final answer
    x = 205.61

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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.