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Finding the Fourth Proportional to 140.75, 211.43 and 122.52

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Solution

The fourth proportional to 140.75, 211.43 and 122.52 is: 184.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.75 : 211.43 = 122.52 : x
  2. Step 2: Convert to fraction form
    140.75/211.43 = 122.52/x
  3. Step 3: Cross multiply
    140.75x = 211.43 × 122.52
  4. Step 4: Simplify right side
    140.75x = 25,904.40
  5. Step 5: Solve for x
    x = 25,904.40/140.75
  6. Step 6: Final answer
    x = 184.05

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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.