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Finding the Fourth Proportional to 172.90, 258.78 and 112.06

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Solution

The fourth proportional to 172.90, 258.78 and 112.06 is: 167.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.90 : 258.78 = 112.06 : x
  2. Step 2: Convert to fraction form
    172.90/258.78 = 112.06/x
  3. Step 3: Cross multiply
    172.90x = 258.78 × 112.06
  4. Step 4: Simplify right side
    172.90x = 28,998.89
  5. Step 5: Solve for x
    x = 28,998.89/172.90
  6. Step 6: Final answer
    x = 167.72

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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.