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Finding the Fourth Proportional to 173.51, 258.72 and 170.44

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Solution

The fourth proportional to 173.51, 258.72 and 170.44 is: 254.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.51 : 258.72 = 170.44 : x
  2. Step 2: Convert to fraction form
    173.51/258.72 = 170.44/x
  3. Step 3: Cross multiply
    173.51x = 258.72 × 170.44
  4. Step 4: Simplify right side
    173.51x = 44,096.24
  5. Step 5: Solve for x
    x = 44,096.24/173.51
  6. Step 6: Final answer
    x = 254.14

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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.