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Finding the Fourth Proportional to 140.86, 193.56 and 134.50

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Solution

The fourth proportional to 140.86, 193.56 and 134.50 is: 184.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.86 : 193.56 = 134.50 : x
  2. Step 2: Convert to fraction form
    140.86/193.56 = 134.50/x
  3. Step 3: Cross multiply
    140.86x = 193.56 × 134.50
  4. Step 4: Simplify right side
    140.86x = 26,033.82
  5. Step 5: Solve for x
    x = 26,033.82/140.86
  6. Step 6: Final answer
    x = 184.82

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.