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Finding the Fourth Proportional to 172.01, 237.81 and 132.80

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Solution

The fourth proportional to 172.01, 237.81 and 132.80 is: 183.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.01 : 237.81 = 132.80 : x
  2. Step 2: Convert to fraction form
    172.01/237.81 = 132.80/x
  3. Step 3: Cross multiply
    172.01x = 237.81 × 132.80
  4. Step 4: Simplify right side
    172.01x = 31,581.17
  5. Step 5: Solve for x
    x = 31,581.17/172.01
  6. Step 6: Final answer
    x = 183.60

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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.