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Finding the Fourth Proportional to 172.63, 238.09 and 151.86

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Solution

The fourth proportional to 172.63, 238.09 and 151.86 is: 209.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.63 : 238.09 = 151.86 : x
  2. Step 2: Convert to fraction form
    172.63/238.09 = 151.86/x
  3. Step 3: Cross multiply
    172.63x = 238.09 × 151.86
  4. Step 4: Simplify right side
    172.63x = 36,155.97
  5. Step 5: Solve for x
    x = 36,155.97/172.63
  6. Step 6: Final answer
    x = 209.45

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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.