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Finding the Fourth Proportional to 166.83, 251.46 and 155.70

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Solution

The fourth proportional to 166.83, 251.46 and 155.70 is: 234.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.83 : 251.46 = 155.70 : x
  2. Step 2: Convert to fraction form
    166.83/251.46 = 155.70/x
  3. Step 3: Cross multiply
    166.83x = 251.46 × 155.70
  4. Step 4: Simplify right side
    166.83x = 39,152.32
  5. Step 5: Solve for x
    x = 39,152.32/166.83
  6. Step 6: Final answer
    x = 234.68

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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.