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Finding the Fourth Proportional to 166.36, 227.99 and 155.32

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Solution

The fourth proportional to 166.36, 227.99 and 155.32 is: 212.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.36 : 227.99 = 155.32 : x
  2. Step 2: Convert to fraction form
    166.36/227.99 = 155.32/x
  3. Step 3: Cross multiply
    166.36x = 227.99 × 155.32
  4. Step 4: Simplify right side
    166.36x = 35,411.41
  5. Step 5: Solve for x
    x = 35,411.41/166.36
  6. Step 6: Final answer
    x = 212.86

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.