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Finding the Fourth Proportional to 166.15, 247.82 and 154.81

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Solution

The fourth proportional to 166.15, 247.82 and 154.81 is: 230.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.15 : 247.82 = 154.81 : x
  2. Step 2: Convert to fraction form
    166.15/247.82 = 154.81/x
  3. Step 3: Cross multiply
    166.15x = 247.82 × 154.81
  4. Step 4: Simplify right side
    166.15x = 38,365.01
  5. Step 5: Solve for x
    x = 38,365.01/166.15
  6. Step 6: Final answer
    x = 230.91

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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.