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Finding the Fourth Proportional to 240.37, 331.76 and 142.13

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Solution

The fourth proportional to 240.37, 331.76 and 142.13 is: 196.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.37 : 331.76 = 142.13 : x
  2. Step 2: Convert to fraction form
    240.37/331.76 = 142.13/x
  3. Step 3: Cross multiply
    240.37x = 331.76 × 142.13
  4. Step 4: Simplify right side
    240.37x = 47,153.05
  5. Step 5: Solve for x
    x = 47,153.05/240.37
  6. Step 6: Final answer
    x = 196.17

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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.