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Finding the Fourth Proportional to 140.90, 214.06 and 140.90

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Solution

The fourth proportional to 140.90, 214.06 and 140.90 is: 214.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.90 : 214.06 = 140.90 : x
  2. Step 2: Convert to fraction form
    140.90/214.06 = 140.90/x
  3. Step 3: Cross multiply
    140.90x = 214.06 × 140.90
  4. Step 4: Simplify right side
    140.90x = 30,161.05
  5. Step 5: Solve for x
    x = 30,161.05/140.90
  6. Step 6: Final answer
    x = 214.06

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.