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Finding the Fourth Proportional to 169.76, 256.24 and 166.16

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Solution

The fourth proportional to 169.76, 256.24 and 166.16 is: 250.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.76 : 256.24 = 166.16 : x
  2. Step 2: Convert to fraction form
    169.76/256.24 = 166.16/x
  3. Step 3: Cross multiply
    169.76x = 256.24 × 166.16
  4. Step 4: Simplify right side
    169.76x = 42,576.84
  5. Step 5: Solve for x
    x = 42,576.84/169.76
  6. Step 6: Final answer
    x = 250.81

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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.