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Finding the Fourth Proportional to 140.99, 192.80 and 140.99

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Solution

The fourth proportional to 140.99, 192.80 and 140.99 is: 192.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.99 : 192.80 = 140.99 : x
  2. Step 2: Convert to fraction form
    140.99/192.80 = 140.99/x
  3. Step 3: Cross multiply
    140.99x = 192.80 × 140.99
  4. Step 4: Simplify right side
    140.99x = 27,181.20
  5. Step 5: Solve for x
    x = 27,181.20/140.99
  6. Step 6: Final answer
    x = 192.80

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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.