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Finding the Fourth Proportional to 216.47, 323.56 and 170.88

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Solution

The fourth proportional to 216.47, 323.56 and 170.88 is: 255.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.47 : 323.56 = 170.88 : x
  2. Step 2: Convert to fraction form
    216.47/323.56 = 170.88/x
  3. Step 3: Cross multiply
    216.47x = 323.56 × 170.88
  4. Step 4: Simplify right side
    216.47x = 55,288.93
  5. Step 5: Solve for x
    x = 55,288.93/216.47
  6. Step 6: Final answer
    x = 255.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.