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Finding the Fourth Proportional to 172.41, 259.79 and 153.76

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Solution

The fourth proportional to 172.41, 259.79 and 153.76 is: 231.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.41 : 259.79 = 153.76 : x
  2. Step 2: Convert to fraction form
    172.41/259.79 = 153.76/x
  3. Step 3: Cross multiply
    172.41x = 259.79 × 153.76
  4. Step 4: Simplify right side
    172.41x = 39,944.38
  5. Step 5: Solve for x
    x = 39,944.38/172.41
  6. Step 6: Final answer
    x = 231.69

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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.