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Finding the Fourth Proportional to 140.55, 209.59 and 130.82

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Solution

The fourth proportional to 140.55, 209.59 and 130.82 is: 195.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.55 : 209.59 = 130.82 : x
  2. Step 2: Convert to fraction form
    140.55/209.59 = 130.82/x
  3. Step 3: Cross multiply
    140.55x = 209.59 × 130.82
  4. Step 4: Simplify right side
    140.55x = 27,418.07
  5. Step 5: Solve for x
    x = 27,418.07/140.55
  6. Step 6: Final answer
    x = 195.07

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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.