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Finding the Fourth Proportional to 172.84, 258.78 and 166.12

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Solution

The fourth proportional to 172.84, 258.78 and 166.12 is: 248.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.84 : 258.78 = 166.12 : x
  2. Step 2: Convert to fraction form
    172.84/258.78 = 166.12/x
  3. Step 3: Cross multiply
    172.84x = 258.78 × 166.12
  4. Step 4: Simplify right side
    172.84x = 42,988.53
  5. Step 5: Solve for x
    x = 42,988.53/172.84
  6. Step 6: Final answer
    x = 248.72

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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.