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Finding the Fourth Proportional to 172.64, 260.01 and 132.33

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Solution

The fourth proportional to 172.64, 260.01 and 132.33 is: 199.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.64 : 260.01 = 132.33 : x
  2. Step 2: Convert to fraction form
    172.64/260.01 = 132.33/x
  3. Step 3: Cross multiply
    172.64x = 260.01 × 132.33
  4. Step 4: Simplify right side
    172.64x = 34,407.12
  5. Step 5: Solve for x
    x = 34,407.12/172.64
  6. Step 6: Final answer
    x = 199.31

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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.