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Finding the Fourth Proportional to 172.37, 258.35 and 74.79

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Solution

The fourth proportional to 172.37, 258.35 and 74.79 is: 112.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.37 : 258.35 = 74.79 : x
  2. Step 2: Convert to fraction form
    172.37/258.35 = 74.79/x
  3. Step 3: Cross multiply
    172.37x = 258.35 × 74.79
  4. Step 4: Simplify right side
    172.37x = 19,321.62
  5. Step 5: Solve for x
    x = 19,321.62/172.37
  6. Step 6: Final answer
    x = 112.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.