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Finding the Fourth Proportional to 172.84, 258.84 and 155.56

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Solution

The fourth proportional to 172.84, 258.84 and 155.56 is: 232.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.84 : 258.84 = 155.56 : x
  2. Step 2: Convert to fraction form
    172.84/258.84 = 155.56/x
  3. Step 3: Cross multiply
    172.84x = 258.84 × 155.56
  4. Step 4: Simplify right side
    172.84x = 40,265.15
  5. Step 5: Solve for x
    x = 40,265.15/172.84
  6. Step 6: Final answer
    x = 232.96

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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.