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Finding the Fourth Proportional to 173.64, 239.40 and 140.82

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Solution

The fourth proportional to 173.64, 239.40 and 140.82 is: 194.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.64 : 239.40 = 140.82 : x
  2. Step 2: Convert to fraction form
    173.64/239.40 = 140.82/x
  3. Step 3: Cross multiply
    173.64x = 239.40 × 140.82
  4. Step 4: Simplify right side
    173.64x = 33,712.31
  5. Step 5: Solve for x
    x = 33,712.31/173.64
  6. Step 6: Final answer
    x = 194.15

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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.