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Finding the Fourth Proportional to 172.23, 238.06 and 145.00

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Solution

The fourth proportional to 172.23, 238.06 and 145.00 is: 200.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.23 : 238.06 = 145.00 : x
  2. Step 2: Convert to fraction form
    172.23/238.06 = 145.00/x
  3. Step 3: Cross multiply
    172.23x = 238.06 × 145.00
  4. Step 4: Simplify right side
    172.23x = 34,516.78
  5. Step 5: Solve for x
    x = 34,516.78/172.23
  6. Step 6: Final answer
    x = 200.41

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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.