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Finding the Fourth Proportional to 172.68, 237.51 and 135.42

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Solution

The fourth proportional to 172.68, 237.51 and 135.42 is: 186.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.68 : 237.51 = 135.42 : x
  2. Step 2: Convert to fraction form
    172.68/237.51 = 135.42/x
  3. Step 3: Cross multiply
    172.68x = 237.51 × 135.42
  4. Step 4: Simplify right side
    172.68x = 32,163.60
  5. Step 5: Solve for x
    x = 32,163.60/172.68
  6. Step 6: Final answer
    x = 186.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.