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Finding the Fourth Proportional to 142.99, 196.04 and 140.25

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Solution

The fourth proportional to 142.99, 196.04 and 140.25 is: 192.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.99 : 196.04 = 140.25 : x
  2. Step 2: Convert to fraction form
    142.99/196.04 = 140.25/x
  3. Step 3: Cross multiply
    142.99x = 196.04 × 140.25
  4. Step 4: Simplify right side
    142.99x = 27,494.61
  5. Step 5: Solve for x
    x = 27,494.61/142.99
  6. Step 6: Final answer
    x = 192.28

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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.