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Finding the Fourth Proportional to 172.08, 235.95 and 170.46

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Solution

The fourth proportional to 172.08, 235.95 and 170.46 is: 233.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.08 : 235.95 = 170.46 : x
  2. Step 2: Convert to fraction form
    172.08/235.95 = 170.46/x
  3. Step 3: Cross multiply
    172.08x = 235.95 × 170.46
  4. Step 4: Simplify right side
    172.08x = 40,220.04
  5. Step 5: Solve for x
    x = 40,220.04/172.08
  6. Step 6: Final answer
    x = 233.73

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.