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Finding the Fourth Proportional to 172.66, 259.92 and 157.54

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Solution

The fourth proportional to 172.66, 259.92 and 157.54 is: 237.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.66 : 259.92 = 157.54 : x
  2. Step 2: Convert to fraction form
    172.66/259.92 = 157.54/x
  3. Step 3: Cross multiply
    172.66x = 259.92 × 157.54
  4. Step 4: Simplify right side
    172.66x = 40,947.80
  5. Step 5: Solve for x
    x = 40,947.80/172.66
  6. Step 6: Final answer
    x = 237.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.