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Finding the Fourth Proportional to 166.95, 249.81 and 146.90

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Solution

The fourth proportional to 166.95, 249.81 and 146.90 is: 219.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.95 : 249.81 = 146.90 : x
  2. Step 2: Convert to fraction form
    166.95/249.81 = 146.90/x
  3. Step 3: Cross multiply
    166.95x = 249.81 × 146.90
  4. Step 4: Simplify right side
    166.95x = 36,697.71
  5. Step 5: Solve for x
    x = 36,697.71/166.95
  6. Step 6: Final answer
    x = 219.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.