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Finding the Fourth Proportional to 140.27, 211.23 and 122.45

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Solution

The fourth proportional to 140.27, 211.23 and 122.45 is: 184.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.27 : 211.23 = 122.45 : x
  2. Step 2: Convert to fraction form
    140.27/211.23 = 122.45/x
  3. Step 3: Cross multiply
    140.27x = 211.23 × 122.45
  4. Step 4: Simplify right side
    140.27x = 25,865.11
  5. Step 5: Solve for x
    x = 25,865.11/140.27
  6. Step 6: Final answer
    x = 184.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.