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Finding the Fourth Proportional to 173.19, 258.60 and 142.82

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Solution

The fourth proportional to 173.19, 258.60 and 142.82 is: 213.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.19 : 258.60 = 142.82 : x
  2. Step 2: Convert to fraction form
    173.19/258.60 = 142.82/x
  3. Step 3: Cross multiply
    173.19x = 258.60 × 142.82
  4. Step 4: Simplify right side
    173.19x = 36,933.25
  5. Step 5: Solve for x
    x = 36,933.25/173.19
  6. Step 6: Final answer
    x = 213.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.