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Finding the Fourth Proportional to 140.52, 193.74 and 131.10

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Solution

The fourth proportional to 140.52, 193.74 and 131.10 is: 180.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.52 : 193.74 = 131.10 : x
  2. Step 2: Convert to fraction form
    140.52/193.74 = 131.10/x
  3. Step 3: Cross multiply
    140.52x = 193.74 × 131.10
  4. Step 4: Simplify right side
    140.52x = 25,399.31
  5. Step 5: Solve for x
    x = 25,399.31/140.52
  6. Step 6: Final answer
    x = 180.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.