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Finding the Fourth Proportional to 172.71, 238.64 and 158.13

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Solution

The fourth proportional to 172.71, 238.64 and 158.13 is: 218.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.71 : 238.64 = 158.13 : x
  2. Step 2: Convert to fraction form
    172.71/238.64 = 158.13/x
  3. Step 3: Cross multiply
    172.71x = 238.64 × 158.13
  4. Step 4: Simplify right side
    172.71x = 37,735.35
  5. Step 5: Solve for x
    x = 37,735.35/172.71
  6. Step 6: Final answer
    x = 218.49

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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.