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Finding the Fourth Proportional to 173.86, 261.17 and 151.56

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Solution

The fourth proportional to 173.86, 261.17 and 151.56 is: 227.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.86 : 261.17 = 151.56 : x
  2. Step 2: Convert to fraction form
    173.86/261.17 = 151.56/x
  3. Step 3: Cross multiply
    173.86x = 261.17 × 151.56
  4. Step 4: Simplify right side
    173.86x = 39,582.93
  5. Step 5: Solve for x
    x = 39,582.93/173.86
  6. Step 6: Final answer
    x = 227.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.