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Finding the Fourth Proportional to 166.25, 250.64 and 154.51

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Solution

The fourth proportional to 166.25, 250.64 and 154.51 is: 232.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.25 : 250.64 = 154.51 : x
  2. Step 2: Convert to fraction form
    166.25/250.64 = 154.51/x
  3. Step 3: Cross multiply
    166.25x = 250.64 × 154.51
  4. Step 4: Simplify right side
    166.25x = 38,726.44
  5. Step 5: Solve for x
    x = 38,726.44/166.25
  6. Step 6: Final answer
    x = 232.94

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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.