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Finding the Fourth Proportional to 163.99, 226.53 and 127.57

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Solution

The fourth proportional to 163.99, 226.53 and 127.57 is: 176.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.99 : 226.53 = 127.57 : x
  2. Step 2: Convert to fraction form
    163.99/226.53 = 127.57/x
  3. Step 3: Cross multiply
    163.99x = 226.53 × 127.57
  4. Step 4: Simplify right side
    163.99x = 28,898.43
  5. Step 5: Solve for x
    x = 28,898.43/163.99
  6. Step 6: Final answer
    x = 176.22

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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.