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Finding the Fourth Proportional to 140.82, 211.54 and 123.22

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Solution

The fourth proportional to 140.82, 211.54 and 123.22 is: 185.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.82 : 211.54 = 123.22 : x
  2. Step 2: Convert to fraction form
    140.82/211.54 = 123.22/x
  3. Step 3: Cross multiply
    140.82x = 211.54 × 123.22
  4. Step 4: Simplify right side
    140.82x = 26,065.96
  5. Step 5: Solve for x
    x = 26,065.96/140.82
  6. Step 6: Final answer
    x = 185.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.